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Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth of a degree.

Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth of a degree.
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Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth of a degree.

Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth-example-1
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User Garrett Gutierrez
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1 Answer

4 votes

Move all the terms involving the sine to one side, and all the numbers to the other:


9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-(5)/(8) \iff c = \arcsin\left(-(5)/(8)\right)\approx 321.3

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User Scottie T
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