How do you use the point #(-15,5sqrt7)# on the terminal side of the angle to evaluate the six trigonometric functions?

1 Answer
Nghi N.
Dec 19, 2016

Find trig funtions values

Explanation:

Call #M (-15, 5sqrt7)# the point od the terminal side terminal . Call m its projection on the x-axis.
We have Om = - 15 and #mn = 5sqrt7.#
The hypotenuse of the right triangle is:
#OM = sqrt(175 + 225) = 20#
Call t the angle < mOM -->

#sin t = 5sqrt7/20 = sqrt7/4#
#cos t = - 15/20 = -3/4#
#tan t = sin/(cos) = (sqrt7/4)(- 4/3) = - sqrt7/3#
#cot = - 3/sqrt7 = - (3sqrt7)/7#
#sec t = 1/(cos) = - 4/3#
#csc t = 1/(sin) = 4/sqrt7 = (4sqrt7)/7#

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