# How do you use the point (-7,-8) on the terminal side of the angle to evaluate the six trigonometric functions?

Aug 3, 2016

Find values of trig functions.

#### Explanation:

call M the terminal point (-7, -8), and m its projection on the x-axis
Om = -7 and mM = -8.
The hypotenuse OM is equal to:
$O {M}^{2} = 49 + 64 = 113$
$O M = \sqrt{113}$. The rayon OM makes an angle a with the x-axis.
Below are the values of 6 trig functions of a.
$\sin a = - \frac{8}{\sqrt{113}}$
$\cos a = - \frac{7}{\sqrt{113}}$
$\tan a = - \frac{8}{-} 7$
$\cot a = \frac{7}{8}$
$\sec a = - \frac{\sqrt{113}}{7}$
$\csc a = - \frac{\sqrt{113}}{8}$