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14-06-2019
Mathematics

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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 Clt360 that satisfy the equation below to the nearest tenth of a degree class=

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14-06-2019

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

[tex]9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3[/tex]

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