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svlad2 [7]
3 years ago
6

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

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

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°

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