Question

Derivative of
tanx cos^2 x

Answer 1

@IMStuck @ganeshie8

Answer 2

@tkhunny

Answer 3

(A) 1+ 2sin^2 x
(B)1 - 2sin^2 x
(C) 1
(D) 2sin^2 x

Answer 4

GOT IT !!!!!!

Answer 5

Did you make your life simple or do it the hard way?

\(\tan(x)\cdot\cos^{2}(x) = \sin(x)\cos(x) = ½\sin(2x)\)

Note: Away from \(\cos(x) = 0\), anyway.

Answer 6

Made my life harder
i opened it using product rule

Answer 7

everything cancels out and you get (B)

Answer 8

Well, there. Now you have two additional expressions to try to see if you get the same thing.

Don't forget your trigonometry!

It is hoped that you find B is also \(\cos(2x)\). :-)