# Evaluate the six trigonometric functions (if possible) for the real number t = π?

Aug 2, 2018

Hope this helps.

#### Explanation:

The six trigonometric functions are

$\sin , \csc , \cos , \sec , \tan , \cot$

$\pi \text{ is in second quadrant. Hence, only " sin, csc " are positive as per the chart above}$

$\sin t = \sin \pi = \sin 0 = 0$

$\csc \pi = \frac{1}{\sin} \pi = \frac{1}{0} = \infty$

$\cos t = \cos \pi = - 1$

$\sec \pi = \frac{1}{\cos} \pi = \frac{1}{-} 1 = - 1$

$\tan t = \tan \pi = - \frac{0}{-} 1 = 0$

$\cot \pi = \frac{1}{\tan} \pi = - \frac{1}{0} = - \infty$