SOLUTION: What is an acute angle theta that satidfies the equation sin theta= cos(2 theta + 33 degrees) Theta=__ degrees

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Question 940256: What is an acute angle theta that satidfies the equation sin theta= cos(2 theta + 33 degrees) Theta=__ degrees
Answer by lwsshak3(11628) About Me  (Show Source):
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What is an acute angle theta that satisfies the equation sin theta= cos(2 theta + 33 degrees)
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sin%28theta%29=cos%28theta%29%2B33+deg%29
consider theta and (theta+33) to be complementary angles.
%28theta%29%2B%28theta%29%2B33+deg=90%29
2theta+33=90
2theta=57
theta=28.5˚
Check:
sin(28.5)≈0.477...
cos(28.5+33)=cos(61.5)≈0.477...