# trig

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Solve sin ¥è = -0.204 for 90¨¬ < ¥è < 270¨¬. Give your answer to the nearest tenth of a degree.

• trig -

we want θ such that sin θ = -0.204

sine is negative in the 3rd & 4th quadrants, so we will only have one answer between 90° and 270°

Arcsin .204 = 11.77°
so, we want 180° + 11.77° = 191.77°

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