Question

Make sure your answer is in

degrees. You should be able to
find this without a calculator.
-1
12/1/= = [?]°
sin-1

Answer 1

210° , 330°

Explanation:

using the sides of the 30- 60- 90 triangle

with legs 1,
`√(3)` and hypotenuse 2 , then

`sin^(-1)`
`(1)/(2)` = 30° ← related acute angle

since
`sin^(-1)` -
`(1)/(2)`

then angle is in third / fourth quadrants , then required angles are

180° + 30° = 210° ← in third quadrant

360° - 30° = 330° ← in fourth quadrant