# 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?

Oct 21, 2015

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.
$O {M}^{2} = {x}^{2} + {y}^{2} = 100 + 576 = 676$ --> $O M = 26$
In the right triangle OMm.
$\sin x = \frac{24}{26} = \frac{12}{13}$
$\cos x = \frac{10}{26} = \frac{5}{13}$
$\tan x = \frac{24}{10} = 2.4$
$\cot x = \frac{1}{2.4} = 0.42$
$\sec x = \frac{13}{5}$
$\csc x = \frac{13}{12}$