Trigonometry - Exact Trigonometric Values and the Unit Circle
Trigonometry - Exact Trigonometric Values and the Unit Circle
Without using a calculator, find the exact value of each of the following.
- \(\frac{\tan \tfrac{\pi}{6}}{\sin \tfrac{\pi}{3}}\)
- \(\frac{\sin \tfrac{\pi}{3} \tan \tfrac{\pi}{3}}{\tan \tfrac{\pi}{4} - \cos \tfrac{\pi}{6}}\)
- \(\frac{\tan \tfrac{\pi}{6}}{\sin \tfrac{\pi}{4}}\)
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Answer:(a) 2/3; (b) 3[2+sqrt(3)]; (c) sqrt(6)/3.
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