# 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)?

Jul 30, 2015

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

#### Explanation:

$\left(- 2 , 0\right)$ 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 $0$

$\sin \left(\pi\right) = 0$
$\cos \left(\pi\right) = - 1$
$\tan \left(\pi\right) = 0$

$\csc \left(\pi\right)$ is undefined
$\sec \left(\pi\right) = - 1$
$\cot \left(\pi\right)$ is undefined