(27^cosx)^sinx=3^(3cosx/2)

Question

(27^cosx)^sinx=3^(3cosx/2)

Answer 1

27^cosxsinx=3^(3cosx/2)

3^2cosxsinx=3^(3cosx/2)

2cosxsinx=3cosx/2

4cosxsinx=3cosx

4sinx=3

sinx=3/4

x=(-1)^k * arcsin3/4+pin