Problem 115 of 7
Find all angles in interval [0,2pi) with tangent value 1/sqrt(3).
Hints
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use period pi and quadrant signs.
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Use period pi and quadrant signs for exact common tangent values.
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Solution
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1. Find a reference angle from the tangent magnitude.
2. Use tangent sign to choose quadrants or use period pi.
3. List every solution in the interval.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Sine/cosine two-quadrant rules that ignore tangent sign.