00:00Here I have a question in the question.
00:01One line which is alpha, y and z and gamma angle.
00:08Alpha plus beta is equal to 90 degree.
00:11So I have asked this statement that is correct.
00:17First we use identity.
00:21What is it?
00:22L is required plus M is required plus N is required is equal to 1.
00:28Now here I have a question.
00:30It means cos alpha is square plus cos beta is square plus cos gamma is square is equal to 1.
00:41This identity we use.
00:44So here I have a question.
00:46It is 90 minus alpha.
00:50So we use cos alpha is square plus cos beta.
00:57If we use cos alpha is square plus cos beta, we use 90 minus alpha.
01:00Cos 90 minus alpha is equal to.
01:05This will be what happens.
01:06If we use cos alpha, see itaday?
01:09It will become sign alpha.
01:16So this is sin alpha square plus cos gamma square is equal to 1
01:29So this is cos alpha square plus sin square theta plus sin square theta
01:38So this is 1 is equal to 1
01:41So this is cos gamma square square
01:47So this is cos alpha square plus sin alpha square is equal to 1
02:11So this is cos alpha square plus sin alpha square is equal to 1
02:14So this is cos alpha square plus sin alpha square is equal to 1
02:21So this is cos alpha square plus cos beta square is equal to 1
02:44Alpha is square plus cos beta is square is equal to 1.
02:52This is how we can write cos alpha plus cos beta whole square minus 2 cos alpha and cos beta.
03:09This is because we have cos alpha plus beta.
03:12So we can write cos alpha plus cos beta into cos alpha plus beta.
03:31is equal to 1
03:34cos alpha plus cos beta
03:39is equal to under root
03:421 plus 2
03:46under root 1 plus 2 cos alpha
03:50cos beta
03:52further simplify
03:54cos beta
04:02cos alpha plus cos beta
04:06cos alpha plus cos beta
04:06is equal to 1 plus 2 cos alpha
04:112 cos alpha
04:14cos alpha
04:15cos alpha
04:18cos alpha
04:41cos beta
04:44cos beta
04:53cos beta
04:56is equal to under root
04:591 plus
05:01sine
05:022 alpha
05:04so this is the maximum value
05:07which will be
05:08sine 2 alpha
05:10maximum value which can be
05:121
05:13or the equation
05:16maximum value 1
05:19under root
05:201 plus 1
05:21under root 2
05:22so this is the statement
05:25second is statement
05:27cos alpha plus cos beta plus cos gamma
05:31minimum value 1
05:33so cos gamma value
05:360
05:37so this is cos alpha plus cos beta
05:40minimum value find
05:411 plus sine 2 alpha
05:46sine 2 alpha
05:48minimum value
05:49minus 1
05:50minus 1 plus
05:53plus 1
05:540
05:54yarni ki
05:55h ki minimum value 0
05:570 plus 0
05:59yarni ki 0
06:00yarni ki
06:01minimum value 1
06:02nai yoy ghi
06:03balki 0 yoy ghi
06:04so yoi second statement
06:05wrong a jay gha
06:07so only first statement
06:09is correct
06:10so x
06:10x
06:10g
06:10y
06:10g
06:10you
06:10y
06:10y
06:10y
