SOLUTION: Find the acute angle theta that satisfies the given equation. Give theta in both degrees and radians. You should do these problems without a calculator. I know the answer to the pr

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Question 914727: Find the acute angle theta that satisfies the given equation. Give theta in both degrees and radians. You should do these problems without a calculator. I know the answer to the problem is 30 degrees= pi/6, but I don't know how to get there.
Problem: sin theta = 1/2

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



There are usually two answers for questions like these, so you look at special triangles where sin theta is positive, in this case, the first and second quadrants.
A special triangle with is a 30 - 60 - 90 triangle, with the reference angle being .
Thus, your answers are , and , so and degrees are your answers.
in radians:
or where is an integer

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