Question

If $y=2{\sin }^2\theta +\tan \theta$, then $\frac{dy}{d\theta }$ will be

• A. $4\sin \theta \cos \theta +\sec \theta \tan \theta$
• B. $2\sin 2\theta +{\sec }^2\theta$
• C. $4\sin \theta +{\sec }^2\theta$
• D. $2{\cos }^2\theta +{\sec }^2\theta$

Answer 1

The correct option is B $2\sin 2\theta +{\sec }^2\theta$

$y=2{\sin }^2\theta +\tan \theta$
$\frac{dy}{d\theta }=2\times 2\sin \theta \cos \theta +{\sec }^2\theta$
$=2\sin 2\theta +{\sec }^2\theta$