Topic: Trigonometry
Mathematics Quiz
Question: If \(\sin\theta=\tfrac12\), then the principal value of \(\theta\) is:
Answer & Explanation
Correct: C — \(30^\circ\)
Reason: Unit circle values: \(\sin30^\circ=\tfrac12\). (General solution: \(\theta=30^\circ+360^\circ k\) or \(150^\circ+360^\circ k\).)
Reason: Unit circle values: \(\sin30^\circ=\tfrac12\). (General solution: \(\theta=30^\circ+360^\circ k\) or \(150^\circ+360^\circ k\).)
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