Trigonometric Functions

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$\cos \left(7\mathrm{\pi }\right)$

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$\tan \left(6\mathrm{\pi }\right)$

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$\cot \frac{7\mathrm{\pi }}{2}$

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$\csc \frac{11\mathrm{\pi }}{2}$

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$\sec \left(8\mathrm{\pi }\right)$

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$\cos \left(\frac{-3\mathrm{\pi }}{2}\right)$

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$\sin (-3\mathrm{\pi })$

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$\sec (-\mathrm{\pi })$

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$\tan (-3\mathrm{\pi })$

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$\sin 45°+\cos 45°$

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$\sin 30°-\cos 45°$

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$\sin 90°+\tan 45°$

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$\cos 180°-\sin 180°$

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$\sin 45° \cos 45°$

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$\tan 45° \cos 30°$

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$\csc 45° \tan 60°$

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$\sec 30° \cot 45°$

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$4 \sin 90°-3 \tan 180°$

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$5 \cos 90° -8 \sin 270°$

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$2\sin \frac{\pi }{3}-3\tan \frac{\pi }{6}$

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$2\sin \frac{\pi }{4}+3\tan \frac{\pi }{4}$

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$2\sec \frac{\pi }{4}+4\cot \frac{\pi }{3}$

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$3\csc \frac{\pi }{3}+\cot \frac{\pi }{4}$

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$\csc \frac{\pi }{2}+\cot \frac{\pi }{2}$

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$\sec \pi -\csc \frac{\pi }{2}$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$\frac{2\pi }{3}$

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$\frac{5\pi }{6}$

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$210°$

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$240°$

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$\frac{3\pi }{4}$

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$\frac{11\pi }{4}$

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$\frac{8\pi }{3}$

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$\frac{13\pi }{6}$

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$405°$

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$390°$

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$-\frac{\pi }{6}$

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$-\frac{\pi }{3}$

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$-135°$

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$-240°$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$\frac{5\pi }{2}$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$5\pi$

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$-\frac{14\pi }{3}$

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$-\frac{13\pi }{6}$

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$\sin 28°$

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$\cos 14°$

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$\sec 21°$

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$\cot 70°$

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$\tan \frac{\pi }{10}$

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$\sin \frac{\pi }{8}$

Use a calculator to find the approximate value of each expression rounded to two decimal places: $\cot \left(\frac{\mathrm{\pi }}{12}\right)$