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

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