Question

Find θ, 0° ≤ θ < 360°, given the following information.

Answer 1

Answer:

210°

Step-by-step explanation:

Given

sinΘ = - $\frac{1}{2}$

Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is

Θ = $sin^{-1}$($\frac{1}{2}$ ) = 30° ← related acute angle

Thus the required angle in the third quadrant is

Θ = 180° + 30° = 210°