Question

How do you find the values of the 6 trigonometric functions of an angle in standard position if the point with coordinates (10,24) lies on its terminal side?

Answer 1

Find 6 trig functions.

Explanation:

Coordinates of point M (10, 24).
Call m the projection of M on the x-axis Om.
Hypotenuse of right triangle OMm.
`OM^2 = x^2 + y^2 = 100 + 576 = 676` --> `OM = 26`
In the right triangle OMm.
`sin x = 24/26 = 12/13`
`cos x = 10/26 = 5/13`
`tan x = 24/10 = 2.4`
`cot x = 1/2.4 = 0.42`
`sec x = 13/5`
`csc x = 13/12`