Question

How do you use the point (7,10) on the terminal side of the angle to evaluate the six trigonometric functions?

Answer 1

Find 6 trig functions

Explanation:

Call M the point (7, 10) and O the origin.
The radius OM make an angle a with the axis Ox, that:
`tan a = 7/10`
The length of hypotenuse OM = R is:
`R^2 = (7)^2 + (10)^2 = 49 + 100 = 149`--> `R = 12.21`
`sin a = 7/12.21 = 0.57`
`cos a = 10/12.21 = 0.82`
`tan a = 7/10`
`cot a = 10/7`
`sec a = 1/0.57 = 1.75`
`csc a = 1/0.82 = 1.22`