Question

Assume that sin(A)=sin(B) in the figure. Find exact answers for each of the values below, not decimal approximations. All angles are given in radians, and your answers should be in radians.

(a) If A=π/8, then B=

(b) If A=1.2, then B=

Answer 1

sin(A)=sin(B)

\(sinB=sin(\dfrac{\pi}{8})\\
B=arcsin(sin(\dfrac{\pi}{8}))\)