Question

Find all angles θ between 0° and 180° satisfying the given equation. round your answer to one decimal place. (enter your answers as a comma-separated list.) sin(θ) = 3 8

Answer 1

we have that
sin(θ) = 3/8

using a calculator
θ=arc sin (3/8)------> θ=22.02°
That is one answer.
Subtract that answer from 180° to find the other one
θ=180°-22.02°-----> θ=157.98°

the answer is
22.02°,157.98°