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00:00Like that, cos 180 plus theta divided by cos 90 plus theta.
00:05If we use the original method, then cos alpha plus theta formula 2 times.
00:11So, I'm going to teach a very good magical text.
00:14Look, what is 180?
00:17Even.
00:18What is even?
00:20Even.
00:21What is 180?
00:22I don't know.
00:23Who is even?
00:2490 is even.
00:26And what is 90?
00:29What is the odd multiple?
00:31What is 92?
00:3494 is 360.
00:3696 is 540.
00:38All we call 90 is even multiple.
00:42And 91 is 90.
00:4493 is 270.
00:46It's great.
00:4795 is 450.
00:49We call 90 is odd multiple.
00:52So, when 90 is even multiple, cos is cos.
00:58When the answer is cos, we call it cos.
00:5910 means sin.
01:0010 means sin, 10 means sin.
01:0110 means sin.
01:0210 means sin, chord means sin.
01:0310 means sin, chord means sin.
01:0510 means sin, chord means sin.
01:066 means sin, chord means cos.
01:08So, in the first part, it's cos.
01:09For a run, we call a direct cross, right?
01:10A plus or minus?
01:11It depends on this angle.
01:12Angle is what is 180 plus theta.
01:15180 plus theta,
01:19of course
01:24of course
01:26of course
01:2990 plus
01:3190
01:3490
01:37plus
01:39sin
01:41sin
01:43sin
01:45sin
01:48sin
01:49so
01:50here
01:51here
01:52cos
01:53or
01:54sin
01:55sin
01:57of course
01:58because
02:00sin
02:01sin
02:02sin
02:04sin
02:05now
02:06what will
02:07will
02:08be
02:0990
02:10plus
02:11sin
02:12to
02:13sin
02:14A number of sin will be negative but the sin will be positive or negative.
02:21Which of which it will be the same?
02:24Cos 90 plus theta.
02:25Second quarter, what's the cost?
02:30Negative.
02:31Negative sin theta.
02:33Both negative cancel.
02:35Cos upon sin, what's the cost?
02:37Cos.
02:39Theta.
02:40Cos upon sin, what's the cost?
02:43Cod theta.
02:43this question that I have got it up very early will the note down to the
02:47process of course 180 plus theta sine 180 minus theta divided by sine 180 plus
02:54theta cost 180 plus theta after the test of the concept of the game is
02:58the concept is so easy to get one of these four formulae
03:02I am a very simple part of course is up to 80 plus theta
03:06180, what is it? 90 is even money.
03:09So, cost is not cost.
03:11But, you need to see what will be sine.
03:15180 plus theta is the third quarter.
03:19And in third quarter, we will tell which positive is only 10 or cot.
03:23So, what will be cost?
03:26Negative.
03:27From here, minus cos theta.
03:30We are giving sine 180 minus theta.
03:33Okay, then 180 is over.
03:35180, what is it?
03:3790 is even money.
03:39So, what does this mean?
03:41Sine is not sine.
03:42180 minus theta, we need to see where is it.
03:45This is second quarter.
03:47And in second quarter, what is it?
03:49Positive.
03:50So, obviously, this is sine theta.
03:52Look, there was a very long method in Intel.
03:56Now, how fast is it?
03:58Cos is 180 plus theta.
04:00After this, sine is 180 plus theta.
04:02Cos is 180 minus theta.
04:03180 minus theta.
04:04180 minus theta.
04:05180 minus theta.
04:06Cos will remain by the cos.
04:11Cos will remain.
04:12When will be 180?
04:13If it is 180 then it will be 90 and 270?
04:15Or is it 450.
04:16What will be 90?
04:18What would be odd?
04:19This sine theta is only theta.
04:20180 plus theta means third quarter.
04:22and if not in third quarter, it will only produce 10 and cot positive.
04:24Then what will be sine theta?
04:26Negative sine theta.
04:28Now, cos is 180-theta.
04:31180-theta, cos theta, cos theta will remain.
04:34Yes, sin.
04:37180-theta, second got it.
04:39Second, which positive are positive?
04:41Sin and cos.
04:43Cos will be negative.
04:45Minus cos theta, minus cos theta cancels.
04:47Sin theta, sin theta cancels.
04:49What is your answer?
04:51Minus one.
04:53And this is your answer.
04:55This is a simple trick.
04:58There are so many questions.
05:00Cos is 180-theta.
05:03Cos, cos, cos, when the angle is 90.
05:07Like 180-theta, 360.
05:09If it is 360, then it will be this.
05:11Cos theta is positive or negative?
05:14It depends on this.
05:16180-theta, 3rd got it.
05:183rd-theta is only 10 and cot positive.
05:20So, this is the matrix.
05:22So, cos theta is negative.
05:24The part, cos theta looks like 180.
05:26And then 1.
05:28So after that, the hell is 180-theta.
05:29The fact thatiest sign will be carne heading to sinث there.
05:31Do not work directly with invention, cos theta cancels.
05:33So, sin theta is positive or negative.
05:35Or theta cancels.
05:36The other thing features is 180 minus theta.
05:37The second got it.
05:38The two got it.
05:39The second got it, what we mean sign again.
05:41The positive got to sign.
05:42Is of course the sign got it.
05:43Now, look at that.
05:45The point does the sin 180 plus theta.
05:47How much got it inside the net has spoken?
05:48That got it.
05:50What does the time haveOkay?
05:53In the same way, the negative is negative.
05:56minus sin theta.
05:58Cos is 180 minus theta.
06:00180 is cos.
06:01180 is cos.
06:02180 minus theta is second quadrant.
06:04Second quadrant is cos.
06:05Negative is minus cos theta.
06:07So, minus cos theta is minus cos theta.
06:09Sin theta is minus cos theta.
06:11Final answer is minus.
06:13If you have alpha plus beta or alpha minus beta,
06:16formulae check the answer to the other side,
06:18the answer is minus 1.
06:19How fast is this concept?
06:21That is the question that every NED test,
06:24every nurse, every fast test.
06:27That is the high frequency question.
06:29And the most difficult ones also get.
06:3299.99% of people are not at home.
06:37This is a little bit of a thought.
06:40I am giving everyone a challenge.
06:44The question is,
06:45if 10 square theta plus 4 square theta equal to 14,
06:49find sec theta cos theta.
06:51If you have student of the year,
06:52find sec theta cos theta.
06:54So, physical or online,
06:56try to do it.
06:57And the answer is student of the year.
07:00If you have student of the year,
07:02you can take me to yourself.
07:03If 10 square plus 4 square theta equal to 14,
07:07find sec theta cos theta.
07:09You will have students at night,
07:10you will have twofold complaining.
07:16You will have twofold spelled points
07:27inside sky 1.
07:291 upon cos theta
07:31and cos theta is 1 upon sin theta
07:34If sin theta cos theta is all converged
07:37then it becomes a little bit
07:39It's just a trick
07:41And this will happen
07:43I'm telling you that there is a high frequency question
07:45Some questions in the paper
07:47are very repeat
07:492 plus theta
07:5110 squared theta
07:53plus 4 squared theta is equal to 14 plus 2
07:5514 plus 2
07:5716 which is 4
07:59Oh dear
08:01Here is 4 squared
08:03or a perfect squared
08:05Is left side something like this?
08:07Now look at it
08:09I have written
08:1110 squared plus quad squared plus 2
08:132 to come
08:15Can I write this?
08:1710 theta into quad theta
08:19I can write
08:21That's the reason
08:23A squared plus B squared plus 2
08:25plus B squared plus 2
08:52V square plus 2H
08:54That's a big question
08:56Toffee is not going to be clear
09:00One will be fast, one will be nuts
09:02and another will be annuity
09:04That's not
09:06So now 10 theta plus 4 theta
09:08square equal to 4
09:10Wow!
09:12Now square square
09:14So what does this mean?
09:1610 theta
09:18plus 4 theta equal to 4
09:20Now what does this mean?
09:22sin theta upon
09:24cos theta
09:26cos theta
09:28cos theta upon sin theta
09:30equal to 4
09:32Let's go, 4 is not going to be left
09:34Now, let's go, LCM
09:36sin theta cos theta
09:38How do you take LCM?
09:40Denominator
09:42multiply
09:44I think you will call it
09:46You will call it
09:48It's like
09:50It's like
09:51LCM
09:52denominator
09:54numerator
09:55sin theta
09:56cos theta
09:57cos theta
09:58cos theta
09:59cos theta
10:00cos theta
10:01cos theta
10:02Cos theta
10:05Girls
10:06cos theta
10:07cos theta
10:08cos theta
10:09cos theta
10:10Cos theta
10:11cos theta
10:12cos theta
10:13cos theta
10:14cos theta
10:15Episod
10:16Maybe
10:17My
10:18low rank
10:23degree of the mbbf metric bar bar fill
10:26we take it back to the other
10:27I am going to bring it back to the other
10:29I am going to say that one
10:31together
10:31of a chern one upon sign theta
10:33into one upon cost
10:35one upon sign theta
10:37So that's a good
10:40or one upon cost
10:41theta
10:41So that's a good thing
10:44what you can see on this
10:45I did not see this. I have a good thing
10:46one upon sign theta
10:48into one upon cost theta
10:50a one upon cost theta
10:53of course sec theta multiplication
10:55is the one upon sine theta
10:59cos sec theta
10:59right way
11:01equal to 4
11:03and I asked
11:04sec theta into
11:07cos theta
11:08which equals
11:094k
11:10very very
11:11second
11:12sec squared theta
11:15plus 10 squared theta
11:17equal to 7
11:18find cos theta
11:201 hint
11:21is the formula
11:23we can solve
11:25this is a matrix
11:26very difficult
11:27but this is a difficult question
11:28but this is very difficult
11:29but this is a basic formula
11:32what basic formula is
11:341 plus 10 squared theta
11:36equal to sec squared theta
11:38so try to do it
11:40the question was
11:41sec squared theta
11:43plus 10 squared theta
11:44equal to 7
11:45find cos theta
11:46then we have a whole
11:49question in sec and ten
11:51and we have asked
11:52cos
11:53here is one thing
11:54we have to know
11:55that cos and sec
11:56relation
11:57cos and sec
11:58what are the other
11:59what are the other
12:00what are the other
12:01what are the other
12:02so we can have
12:03some kind of
12:04here
12:05which can be
12:06completely
12:07now how is it
12:08so dear dear dear
12:11dear
12:12this formula is
12:141 plus
12:1510 squared theta
12:16equal to sec squared theta
12:17is or not
12:19can i rearrange this
12:21can i rearrange this
12:22absolutely
12:23this is 10 squared
12:24here plus
12:25here
12:26what will be minus
12:27this can i write
12:28sec squared theta
12:29minus
12:3010 squared theta
12:31equal to 1
12:32is or not
12:33this is my formula
12:35our formula
12:36and the question
12:37we have two questions
12:38to add up
12:39so minus
12:4010 squared plus
12:4110 squared
12:42will cancel
12:43absolutely
12:442 sec squared theta
12:45equal to 7 plus
12:471
12:48or not
12:498
12:50sec squared theta
12:51they have no question
12:52so they have
12:53tension
12:548 upon
12:552
12:56sec theta
12:57of course plus
12:58minus 2
12:59but they have not
13:00talked about
13:01this is sec theta
13:021 upon
13:032
13:04and this is the question
13:05the question
13:06the question
13:07the question
13:08is
13:091 upon
13:102
13:11and this is the question
13:12the question
13:13is
13:143 sin
13:1510
13:16minus
13:174 sin
13:18cube
13:19so dear
13:20dear
13:21dear
13:22how to solve
13:23very very important
13:24then i am telling you
13:25that you have
13:26the value
13:27of sin
13:28cos
13:29already
13:30sent out
13:315
13:32or
13:3310
13:34or
13:3530
13:36or
13:3750
13:38so obvious
13:39here is
13:40value
13:41then what is
13:42what is
13:43what is
13:44trigonometric
13:45which is
13:46a formula
13:47is
13:483 sin
13:49theta
13:50minus
13:514 sin
13:52cube
13:53theta
13:54well
13:55well
13:56well
13:57well
13:58i
13:59i
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22:19So I will tell you what the answer will be 2
22:23Look here
22:251 plus 10 is 7
22:271 plus 10 is 38
22:297 and 38 is 45
22:31It is absolutely
22:33What will be the answer?
22:35It will be 2
22:37Look, Cosec inverse minus 2 upon root 2
22:41Who will be 1?
22:43If 2 will cut root 2
22:45What will be minus root 2
22:47root 2 is pi by 4
22:49because Cosec
22:5145 degree
22:53but because it is minus root 2
22:55it is minus pi by 4
22:5745 to pi by 4
22:59Then
23:0110 cos inverse minus half
23:03cos inverse minus half
23:05value
23:07value
23:09value
23:11value
23:13value
23:151
23:17or
23:2110
23:221
23:2320
23:25this is
23:27you can say
23:29It so
23:31is minus Maple
23:33well
23:35code inverse
23:37this formula is
23:38code inverse alpha
23:40equals 10 inverse
23:411 upon alpha
23:42this formula is
23:43this formula is
23:45good
23:46cos 10 inverse infinity
23:48so 10
23:49infinity
23:5090 degree
23:51now cos 90
23:52which is 0
23:53then sine inverse
23:55sine 3 pi
23:56upon 4
23:57sine inverse
23:58and sine cancel
23:593 pi
24:00upon 4
24:00repeat
24:022
24:03root 2
24:04minus root 2
24:05minus root 2
24:06cos 1
24:06value
24:07minus
24:0740
24:0850
24:08here
24:09cos inverse
24:10minus
24:11of
24:11cos
24:12value
24:13minus
24:13half
24:13120
24:1410
24:17120
24:18minus
24:19root
24:193
24:19this
24:21formula
24:21code
24:22inverse
24:22alpha
24:2210
24:23inverse
24:231 upon
24:23alpha
24:24this
24:24alpha
24:25and
24:27this
24:27is
24:2810
24:28inverse
24:29value
24:29infinity
24:3090
24:30cos
24:3190
24:310
24:310
24:320
24:32here
24:33sine
24:34inverse
24:34sine
24:353
24:35upon
24:354
24:36sine
24:36inverse
24:36cancels
24:373
24:37upon
24:37important
24:38year
24:38past
24:38paper
24:39cos
24:3962
24:40sine
24:4058
24:41plus
24:41cos
24:4128
24:42sine
24:4232
24:439
24:44is
24:45form
24:45mean
24:45to
24:45sine
24:45i
24:46ipt
24:46very
24:46cancels
24:47use
24:47your
24:48formula
24:50cos
24:51alpha
24:51cos
24:52beta
24:52plus
24:52sin
24:53alpha
24:53sin
24:53beta
24:53until
24:57this
24:58possibility
24:58is
24:59here
24:59cos
25:0062
25:00sine
25:0158
25:01in
25:01angles
25:02we
25:02have no
25:04relation
25:05one
25:06has
25:06told
25:06that
25:06sine
25:07and
25:07cosine
25:07inverse
25:08know
25:10it
25:11is
25:15by
25:17yeah
25:23it
25:28is
25:29minus 32
25:30cos alpha cos beta plus sin alpha sin beta
25:35cos alpha minus beta
25:36is equal to cos
25:3862 minus 32
25:40cos 30
25:41cos 30
25:42root 3 upon 2
25:444 cos cube
25:4715 degree minus 3 cos
25:4915 degree
25:50equal to
25:52theta
25:53equal to
25:54formula
25:554 cos cube
25:57theta minus 3 cos
25:583
25:59and this could be called
26:01cos 3
26:02so well well well
26:05this is simple
26:06theta is 15
26:0715
26:08multiply
26:08so
26:0915
26:113
26:1145
26:12cos 45
26:14what is
26:151 upon root 2
26:16ok
26:17now
26:18sine 2 theta
26:19equal to
26:191
26:202 theta
26:21equal to
26:229
26:22theta
26:23equal to
26:2445
26:25so
26:2610 theta
26:2710
26:2710
26:2745
26:28the
26:28important topic is
26:32trigonometry
26:33circum radius
26:35in radius
26:36and
26:37scrap radius
26:38if a triangle is inside the circle
26:42then the radius of the circle is this
26:46if the radius is inside the circle
26:48we can see the radius
26:50ABC upon 4 area
26:52now ABC is the three sides
26:54and if we talk about area
26:56if we talk about area
26:58first we talk about A
27:00plus B plus C upon 2
27:02if we talk about area
27:04this formula which we call hero formula
27:06S, S minus A, S minus B, S minus A
27:16this is our value
27:18now we have the values
27:20from this
27:22this R is equal to A upon 2 sin alpha
27:24R, B upon 2 sin beta
27:26C upon 2 sin
27:28when A is here alpha and B is here beta
27:30C is here
27:32three formulas are important
27:34the first one is very important
27:36we have to ask you
27:38this is the right circle is equal to
27:40option A, A, B, C, D, D
27:42all of them
27:44which we talk about in radius
27:46circle inside and triangle inside
27:48this is the right circle
27:50this is the right circle
27:52this is the right circle
27:54this is the right circle
27:56this is the right circle
27:58R1 is the left of area
28:00area upon S minus A
28:02R2 is the right of S minus B
28:04and R3 is the right of S minus A
28:05this is the right circle
28:06we have to ask about several things
28:08which we have to ask them
28:09some of these come here
28:10we have to ask them
28:11some of these other things
28:12we will ask them
28:13and then the value of A, B and C
28:15can be asked for you
28:16if they ask them
28:17what you want to say
28:18discuss them
28:19on this one's time
28:20a is a 5K
28:21b is a 6K
28:22and a is a 6K
28:23and c is 5K
28:24and R in radius is equal to 6K, then K is equal to K.
28:29Well, well, well.
28:30We know that small r is equal to area upon S.
28:33So, the problem here is that we can get S and area.
28:37S is equal to A plus B plus C upon 2.
28:41So, S is a little easy to see because
28:445K plus 6K plus 5K.
28:46If you have total 16K R is equal to 2,
28:50then S is equal to 8K.
28:53Now, area is equal to S.
28:55S minus A, S minus B, S minus C.
28:58So, if you see here, I have 8K.
29:02Here, what will be?
29:048K with 5K minus.
29:073K.
29:09Then B is 6K, then C is 5K.
29:12So, one time 2K, one time 3K.
29:16One time 3 is equal to K.
29:21root of two square root is equal to H.
29:24�� is equal to 3.
29:252K is equal to 16.
29:26And this is equal to 4.
29:28The main square root is equal to 12K.
29:30The main square root is equal to R.
29:33Now, small R to 6,
29:35this is equal to R.
29:36And this is equal to area upon S to equal to 12K.
29:40So,
29:42this is a cake cancel.
29:44It is very easy.
29:46It is a table of 4.
29:48It is a table of 4.
29:50Or 3.
29:52Or 2.
29:54And then divide.
29:56The cake value finally comes.
29:58This is a very important question.
30:00It has come in a paper.
30:02There is not anything else.
30:04First, the cake is out of the cake.
30:06Then, the cake is out of the cake.
30:08Then, the cake value is area upon S.
30:10Fill the cake value.
30:12In the paper, it was a great year.
30:142R, square, sin, alpha, sin, beta, sin, gamma.
30:16It was a cake value.
30:18In the option, there was area, 2, area, 3, area, 4, area.
30:20So, well, let's listen.
30:22Sin, alpha, sin, A, E.
30:24It is a matter of the cake.
30:26Let's see here.
30:28The cake value is equal to A upon 2R.
30:32Beta is equal to B upon 2R.
30:36Gamma or angle C?
30:38What does C mean?
30:40C upon 2R.
30:42Now, my brother, what are these?
30:442R square.
30:45R square is equal to R.
30:462R square.
30:47So, R square is equal to R.
30:481.
30:492B is equal to A.
30:50The above is A, B, C.
30:51The above is A, B, C.
30:52The above is A, B, C.
30:53The above is A, B, C.
30:54The above is 4R.
30:55Now, my brother, A, B, C upon 4R.
30:58Yeah, let's look at this.
30:59Yea', the above is A, B, C ft.
31:00Yeah, let's look.
31:01See, The above is A, B, C, A, B and C.
31:07From it, the above is A.
31:09Here, let's see.
31:10ME1 to A, B, C plus A.
31:11Is A, B on U.
31:12So, Living above is A, B, C,
31:26sin, beta, sin, gama, garing,
31:27kiske barabar hooga.
31:28So sin, alpha,
31:29yaha is formulae se nikhaat saakta hai
31:31badeya arasani se.
31:32A upon 2R,
31:34sin, beta,
31:34B upon 2R,
31:36sin, gama,
31:36C upon 2R.
31:372R square cancel hooga hai.
31:39Oopar ABC bacha,
31:40niche 4R bacha.
31:42Ab, hummye to bata hai,
31:43kai R baraabar hoota hai,
31:44ABC upon 4 area ke,
31:45kai thoda sa isko re-arrange ka lo,
31:46to area baraabar hoja hai,
31:47ABC upon 4R ke.
31:49To of course,
31:50ABC upon 4R,
31:51kiske ecolog hai,
31:52area ke.
31:52E, hummye aar answer a gala hai.
31:54So doke,
31:54usme eek ciz badehi important hai.
31:56Nekhi, agar ABC,
31:57tineo side hai hapas me,
31:58equal loan,
31:58tab kya hoota hai?
32:00Well, well, well.
32:01Sab se phahele toh,
32:02dheklo,
32:02S baraabar hojaata hai,
32:043 upon 2A ke.
32:07Phir S ki value home,
32:08utha ke idhar put karthay hai,
32:10area me.
32:12Area baraabar hojaata hai,
32:13root 3 upon 4,
32:14A square ke.
32:16Equilateral triangle,
32:18ka area,
32:19ye hoota hai.
32:20Cabernal R,
32:21haanji,
32:21ye kya hojaega,
32:22dheklo,
32:22B or C b eke baraabar hai,
32:24ye haan toh,
32:24A cube a gya.
32:264 area,
32:27area bole toh,
32:28root 3,
32:284A square,
32:30A square,
32:30or ye cancel 4,
32:32ye bache ga,
32:32A upon root 3.
32:34Haanji,
32:35A upon root 3,
32:35yianni,
32:36capital R,
32:37kab hooga?
32:37Jab ABC,
32:38tineo side,
32:38equal area triangle,
32:39equal area triangle,
32:40equal area triangle.
32:41Ye kya hojaega,
32:42small r,
32:44chalou,
32:44dhekhtae hai,
32:45area toh ho gaya,
32:45root 3 upon 4A square,
32:48S ho gaya,
32:493 upon 2A,
32:50A cancel,
32:52ye base cancel,
32:54root 3 upon 6,
32:57ye small e ho gaya,
32:59ab dhekho,
32:59R1,
32:59R2,
33:00R3,
33:00bhi apas me equal hongi,
33:01dhekha na,
33:02ab ye kya ho gaya,
33:03aapas me equal hongi,
33:04toh gher dairai,
33:05ABC equal hongi,
33:06toh ab ye kis ke equal ho chayenge,
33:09dhekho,
33:09upar toh root 3 upon 4A square,
33:12S minus A,
33:13yianni,
33:13A upon 2,
33:15dare, dare, dare,
33:16ye cancel,
33:17root 3 upon 2A,
33:20ye aapka R1 a gaya,
33:23ye aapka small r a gaya,
33:25ye aapka capital a r a gaya,
33:26note down kalli chai,
33:28eko,
33:28eko,
33:28a bar vadhi ha,
33:29jab ABC equal hongi,
33:31toh small r,
33:32capital r,
33:33or r1 ka ratio hoga,
33:34one is true,
33:35two is true,
33:35three,
33:35or agar abon,
33:37R, capital r,
33:39r1,
33:39r2,
33:39r3 ka ratio liaa,
33:40tohoto ye tine on,
33:41dhekho namas me equal iayna,
33:43ye tine on,
33:43dhekho namas me equal iayna,
33:44toh ratio one is true,
33:45two is true,
33:45three is true,
33:46three is true,
33:46three is true,
33:46three is true,
33:46aag alag tari kese,
33:47zem,
33:48ah,
33:48bacho,
33:49ek bada ham formula,
33:50sign 2 theta equal to 2 sin theta cost through
33:53Now, sir, this is basically the basic thing
33:56So, basic thing is, now we are going to get the basic thing
33:59So, basic thing is, we start to get the technometric
34:01Sin 2 theta is the formula we all know
34:04But, it's important to be 2 times theta 1 plus 10 squared theta
34:112 times theta upon 1 plus 10 squared theta
34:14Is the same as sin 2 theta
34:16So, this is the same as sin 2 theta is equal to 2 sin theta cos theta
34:23Option B is 2, 10 theta, 1 plus 10 squared theta
34:26C is the same as B, D is the same as B
34:29Now, if you don't know what to say, this is the same as A
34:32I always say, when you both are in B, all of them are the same as B
34:36Now, I remember the same as sin 15
34:38I remember the same as B
34:40It's important
34:41What is root 3 minus 1 upon 2 root 2?
34:44Look, this is 1 upon 4, 0.25 of the OTA decimal
34:47Usually, we are using physics, we are using math
34:50Maths, we are using math
34:52Now, this formula is very important for this formula
34:54It's very important, it is very important
34:56It's very important
34:58It is very important
34:59The examiner has been asked for this formula.
35:02In the paper, the question was 2sin 7.5 cos 7.5.
35:09The children are frustrated.
35:11They say sin 7.5.
35:12They say, I don't know.
35:13No, cos 7.5.
35:15Who knows?
35:16So, 2sin cos 7.5 cos 7.5.
35:20This is the formula.
35:212sin cos 7.5 cos 7.5.
35:23So, it is equal to sin 2.
35:25So, 7.5 multiplied by 2.
35:287.5 cos 2.
35:30So, it is 15.
35:32And sin 15.
35:33It is root 3 minus 1 upon 2.
35:35The question is in the test.
35:37The question is in the test.
35:39The question is in the test.
35:41The question in the test.
35:43What is the question?
35:45It is very similar.
35:47It is very similar.
35:49It is very similar.
35:50But, people who are wrong.
35:52I am angry.
35:542sin 5.5.
35:571 plus 10 square.
36:02Here is 7.5.
36:04Now, look at this value.
36:06It is a problem.
36:07It is a problem.
36:08Think about it.
36:09Think about it.
36:102, 10 theta.
36:111 plus 10 square theta.
36:12It is a formula.
36:13It is a formula.
36:14It is a formula.
36:15It is a formula.
36:16It is a formula.
36:17It is a formula.
36:18It is a formula.
36:19It is a formula.
36:20It is a formula.
36:21It is a formula.
36:22It is a formula.
36:23It is a formula.
36:24It is a formula.
36:25It is a formula.
36:26It is a formula.
36:27It is a formula.
36:28It is a formula.
36:29It is a formula.
36:30It is a formula.
36:31It is a formula.
36:32It is a formula.
36:33It is a formula.
36:34It is a formula.
36:35It is a formula.
36:36hypothalamus in the formula.
36:37xat0, 5, 6, 4, 5, 3, 4, 5, 5, 5, 7, 7, 8, 9, 9, 9, 9, 9, 9, 10.
36:4631, kolezing ra, so
37:042 10 22.5 divided by 1 minus 10 square 22.5
37:0922.5 value to not yet.
37:12Who should remember?
37:14This formula looks like 2 10 theta 1 minus 10 square theta 1.
37:18If this formula looks like 22.5, 2 multiplied by 2.
37:232 multiplied by 2.
37:2645 and 10 45.
37:28If this formula looks like 22.5, then the formula is 1.
37:33The formula is 1.
37:36This formula is 1.
37:37This formula is 1.
37:40So, sin x plus sin square x is equal to 1.
37:43Find x plus cos 4 x.
37:45The formula is 4.
37:48If sin x plus sin x square 1 is equal to 1.
37:52here we go
37:54we will say
37:56sin x
37:58x
38:00x
38:02x
38:04x
38:06x
38:08x
38:10x
38:12x
38:14x
38:16x
38:18x
38:20x
38:21x
38:23x
38:25x
38:26x
38:27x
38:28x
38:29x
38:30x
38:31x
38:32x
38:33x
38:34x
38:35x
38:36x
38:37x
38:38x
38:39x
38:40x
38:41x
38:42x
38:43x
38:44x
38:45x
38:46x
38:47x
38:48x
38:49x
38:50x
38:51this is the first time
38:52that's the triangle
38:53with any angle
38:54is 90k equal to this triangle
38:56now it's not the same
38:57as it is three sides
38:58is not the same
38:59or two sides equal
39:01like isoscanals
39:03or three sides equal
39:05equal to this
39:05which is important
39:06basically
39:07this is the only definition
39:08that is so
39:09that the angle
39:1090k equal to this
39:11is not the same
39:12Now
39:12we have two
39:14three
39:14four
39:15theta
39:16equal to this
39:17four
39:17four
39:17sine
39:17theta
39:18cos
39:18theta
39:18cos
39:192
39:19theta
39:19and
39:20And cos 4 theta is equal to 8 cos 4 theta minus 8 cos square theta minus 1.
39:26Gholam Saha Khan and Piaz are both in the test.
39:318 cos 4 is equal to 11.25 minus 8 cos square is equal to 11.25 minus 1.
39:38So, well, let's see, theta is equal to 11.25.
39:42This formula is equal to 8 cos 4 theta minus 8 cos square theta minus 1.
39:48If theta is 11.25, then 4 theta is equal to 45.
39:53So, this is cos 45.
39:56Cos 45 is equal to 1 upon 2.
39:59So, the answer should be 1 upon 2.
40:01So, see, now we are talking about basic concepts.
40:04Now, how many questions will happen in seconds?
40:07I will tell you, sir, how many questions will happen?
40:08I will tell you.
40:09First of all, I will tell you.
40:12Cos alpha plus beta.
40:14Cos 180 cos theta minus sin 180 sin theta.
40:28Now, we will tell you that sin 180 is equal to 0.
40:35So, this is the part of our work.
40:38Cos 180 what is?
40:41Minus 1.
40:43So, minus 1, if we multiply cos theta by cos theta.
40:47So, this is minus cos theta.
40:49I will tell you.
40:50I will tell you.
40:51My question is,
40:52but if I am going to 4 seconds,
40:54I will tell you in seconds.
40:56So, how is it going to happen?
40:57I will tell you.
40:58I will tell you.
40:59I will tell you.
41:06What do you mean?
41:08I will tell you lastHbordle.
41:10It becomes December 12th,
41:12so asỉnhemos.
41:14In the end,
41:17if I am going to do one more and more,
41:19make sure I keep feeling good.
41:22Even though you are here in the end and before.
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