Question

Please integrate cos^2x showing steps :)

Answer 1

\[\cos^2 x = \frac{1 + \cos(2x)}{2} \]

Answer 2

Yess! I didn't get this part. Cos^2x is equal to that^??

Answer 3

Yes it is. Here is how you derive it.\[\cos^2 x - \sin^2 x = \cos(2x)\]\[\Rightarrow \cos^2 x - (1 - \cos^2 x) = \cos(2x)\]\[\Rightarrow 2\cos^2 x - 1=\cos(2x)\]\[\Rightarrow \cos^2 x = \dfrac{1 + \cos(2x)}{2}\]

Answer 4

Ohhhh

Answer 5

THANK YOUUU :)

Answer 6

No problem. Welcome back to OS!

Answer 7

Haha, thanks!