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

Related questions
See all questions in Trigonometric Functions of Any Angle
Impact of this question
2246 views around the world
You can reuse this answer
Creative Commons License