Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.)

Question

Sin θ = 1/4

Answer 1

You know that the sine is positive in quads I and II, which is your given domain

if sinØ = 1/4
Ø = 14.5° or Ø = 180 - 14.5 = 165.5°

Answer 2

Find all the angles 𝜃 between 0° and 180° satisfying sin 𝜃 =
√3/2