Find theta to the nearest tenth of a degree, if theta is between 0 degrees and 360 degrees for sin theta = 0.4649 with theta in quadrant 2

Amrish Kakadiya asked Mar 16, 2022

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Amrish Kakadiya asked Mar 16, 2022

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24 votes

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Answer:

152.3°

Explanation:

The arcsine function only gives angles in quadrants I and IV. Since this is a quadrant II angle, its value will be ...

θ = 180° -arcsin(0.4649) = 180° -27.7°

θ = 152.3°

David Salomon answered Mar 21, 2022

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