# How do you find the exact values of the six trigonometric function of theta if the terminal side of theta in the standard position contains the point (0,-6)?

Nov 28, 2016

Find 6 values of trig functions

#### Explanation:

On the trig unit circle, the point (0, -6) is located on the axis Oy', and the related arc is t = (3pi)/2, or t = (-pi/2)
We have with t = (3pi)/2 -->
sin t = - 1
cos t = 0
$\tan t = \frac{\sin}{\cos} = \in f \in i t y$
cot t = 0
$\sec t = \frac{1}{\cos} = - \in f \in i t y$
$\csc t = \frac{1}{\sin} = \frac{1}{- 1} = - 1$