00:00In this question, we are given, for sin square x is equal to 3, so we can write it as,
00:06sin square x is equal to 3 by 4, divide by 4 on the right side, then we can write
00:12it as, do square root on both sides, we get, sin x is equal to, minus root 3 by 2,
00:19or root 3 by 2,
00:21now we know, that x is between 0 and pi, between 0 and pi, sin theta, sin angles have positive
00:30value, so sin x can be equal to, minus root 3 by 2, so sin x is equal to, root
00:373 by 2,
00:38and at what value of x is, sin x is equal to, root 3 by 2, at 60 degree, from
00:430 to pi, so we have got the value of x, which is equal to, x is equal to 60
00:49degree,
00:49now we have to find value of, tan 3x, so tan 3x is, 1060 degree into 3, which is, tan
00:58180 degree, so tan 1, tan theta is equal to, sin theta, upon, cos theta,
01:05sin 180 degree value is 0, we did not, matter whatever the value is, cos 180 degree, because, numerator is
01:140, so the whole term will also be 0, so 0 will be the answer final,
