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?

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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?

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Answer 1 · 2015-10-21T04:12:49

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#

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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?

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