Question

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

Answer 1

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`