Problem 90 of 7
Find all angles in interval [0,2pi) with sine value sqrt(3)/2.
Hints
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use unit-circle symmetry.
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Use unit-circle symmetry for exact common sine values.
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Solution
Walkthrough
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1. Find the reference angle for the sine magnitude.
2. Use sine sign to choose quadrants.
3. List all angles in the interval.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Giving only the reference angle when two quadrant solutions exist.