Graph of functions

Question

Use a graph to estimate the equation of all the vertical asymptotes of the curve y=tan(2sinx)

Answer 1

Vertical asymptotes of Tan(x) are every π/2.

For every y=tan(2sinx), set 2sin(x) = π/2, or sin(x) = π/4

sin^-1(π/4) = 0.90334 radians x 180°/π = 51.76°