# How do you find all six trigonometric functions of theta if the given point (0, −5) is on the terminal side of θ?

Jun 1, 2015

Point (0, -5).
The arc is $x = \frac{3 \pi}{2.}$

$\sin \left(\frac{3 \pi}{2}\right) = - 1$

$\cos \left(\frac{3 \pi}{2}\right) = 0$

$\tan \left(\frac{3 \pi}{2}\right)$= infinity

$\cot \left(\frac{3 \pi}{2}\right) = 0$

$\sec \left(\frac{3 \pi}{2}\right)$ = infinity

$\csc \left(\frac{3 \pi}{2}\right) = - 1$