Question

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)?

Answer 1

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 = sin/(cos) = infinity`
cot t = 0
`sec t = 1/(cos) = - infinity`
`csc t = 1/(sin) = 1/(-1) = - 1`