Question

Let y=(tanx)sinx for $0\lt x\lt\frac{\pi}{2}$. If $\frac{dy}{dx}=(\tan x)^{\sin x}((\cos x)\log(\tan x)+g(x))$, then g(x)=

• A. sinx sec2x
• B. secx cosecx
• C. secx
• D. cosecx
• E. sinx tanx

Answer 1

Answer: (C)

secx

Answer 2

The correct option is (C): secx