Question

How do you find the exact values of the six trigonometric functions of theta if the terminal side of θ in standard position contains the point (-2,0)?

Answer 1

If the terminal side of `theta` (in standard position) contains the point `(-2,0)` then `theta = pi`
and the six trigonometric values are the standard values for `pi`

Explanation:

`(-2,0)` is a point on the negative X-axis.

Assuming a hypotenuse of length 1
the side adjacent to the origin will have a length of `-1`
and the side opposite the origin will have a length of `0`

`sin(pi) = 0`
`cos(pi) = -1`
`tan(pi)= 0`

`csc(pi)` is undefined
`sec(pi)=-1`
`cot(pi)` is undefined