Question

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

Answer 1

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:
`OM^2 = 49 + 64 = 113`
`OM = sqrt113`. The rayon OM makes an angle a with the x-axis.
Below are the values of 6 trig functions of a.
`sin a = - 8/sqrt113`
`cos a = - 7/sqrt113`
`tan a = -8/-7`
`cot a = 7/8`
`sec a = - sqrt113/7`
`csc a = - sqrt113/8`