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

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

7 0

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

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

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