Question

Let f(x) = e\(^{cos^-1}\{sin(x+π/3)\}.\). Then f(8 π/9) = 

A. e\(^{5π/18}\)

B. e\(^{13π/18}\)

C. e\(^{-2π/18}\)

D. none of these

Answer 1

Correct option is D. none of these

We are given with,

We just need to find put \(x=\frac{8\pi}9\) in f(x).

So,

Using property of inverse trigonometry,

cos^-1(cos θ) = θ