Question

If $\tan y=\sin x$ Find $\frac{dy}{dx}$

• A. ${\cos }^{2}y\cos x$
• B. $\sin x+\cos y$
• C. $\tan x+\sec x$
• D. None

Answer 1

The correct option is A ${\cos }^{2}y\cos x$

$\tan x=\sin x\frac{d}{dx}\tan y=\frac{d}{dx}\sin x{\sec }^{2}y\frac{dy}{dx}=\cos x\frac{dy}{dx}={\cos }^{2}y\cos x$