SOLUTION: Solve:2sin(theta-20 degrees)=1 for 0 degrees smaller than theta smaller than 360 degrees

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Question 1091298: Solve:2sin(theta-20 degrees)=1 for 0 degrees smaller than theta smaller than 360 degrees
Answer by ikleyn(52799) About Me  (Show Source):
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Solve:2sin(theta-20 degrees)=1 for 0 degrees smaller than theta smaller than 360 degrees
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2%2Asin%28theta-20%5Eo%29 = 1    ====>  sin%28theta-20%5Eo%29 = 1%2F2  ====>

theta-20%5Eo = 30°   or   theta-20%5Eo = 150°  ====>

There are TWO solutions:  1) theta = 20° + 30° = 50°,  and   2) theta = 20° + 150° = 170°.


Answer.  There are TWO solutions:  1) theta = 50°,  and   2) theta = 170°.

Solved.