00:01
Hi, there is a question we said that i have to find all solutions of the equation in the interval 0 to 2 pi, 0 included and 2 pi excluded.
00:11
Ok, this is cos x plus cot x equal to under root 3 by 3.
00:21
Let us convert it in sine and cosine.
00:23
So, i will be writing 1 by sine x plus cos x by sine x equal to root 3 by 3.
00:34
So, 1 plus cos x by sine x equal to under root 3 by 3.
00:41
I will be using half angle identity.
00:44
So before that, let us recall cos 2 theta is 2 cos square theta minus 1.
00:50
So, 1 plus cos 2 theta is 2 cos square theta.
00:56
Similarly, sine 2 theta is 2 sine theta cos theta.
01:01
So, using the same logic, 1 plus cos x will be, since here it is 2x, so it has become single x.
01:10
Now, here we have single x, so it will be 2 cos square x by 2, 2 sine x by 2 and cos x by 2...