Trigonometry/Functions/Flash cards

\tan {\frac {\pi }{6}}

Solution

    $\tan {\frac {\pi }{6}}={\frac {\sin {\frac {\pi }{6}}}{\cos {\frac {\pi }{6}}}}={\frac {\frac {1}{2}}{\frac {\sqrt {3}}{2}}}=\left({\frac {1}{2}}\right){\frac {2}{\sqrt {3}}}={\frac {1}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}$

\tan {\frac {\pi }{4}}

Solution

    $\tan {\frac {\pi }{4}}={\frac {\sin {\frac {\pi }{4}}}{cos{\frac {\pi }{4}}}}=\left({\frac {\sqrt {2}}{2}}\right){\frac {2}{\sqrt {2}}}=1$

\tan {\frac {\pi }{3}}

Solution

    $\tan {\frac {\pi }{3}}={\frac {\sin {\frac {\pi }{3}}}{cos{\frac {\pi }{3}}}}=\left({\frac {\sqrt {3}}{2}}\right){\frac {2}{1}}={\sqrt {3}}$

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