Trigonometry/Functions/Flash cards

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\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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