SOLUTION: Find an acute angle θ that satisfies the equation sin θ= cos(2 θ+ 30°) I don't know which trigonometric identity to use to solve the problem, help and an expl

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Question 883444: Find an acute angle θ that satisfies the equation sin θ= cos(2 θ+ 30°)


I don't know which trigonometric identity to use to solve the problem, help and an explanation would be greatly appreciated.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find an acute angle θ that satisfies the equation sin θ= cos(2 θ+ 30°)
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sin(t) = cos(2t + 30deg)
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cos(90-t) = cos(2t+30deg)
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90-t = 2t+30
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3t = 60
t = 20 degrees
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Cheers,
Stan H.
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