SOLUTION: Let (-5,-7) be a point on the terminal side of theta. Find the exact values of cos theta, csc theta, tan theta

Algebra ->  Trigonometry-basics -> SOLUTION: Let (-5,-7) be a point on the terminal side of theta. Find the exact values of cos theta, csc theta, tan theta      Log On


   



Question 630569: Let (-5,-7) be a point on the terminal side of theta.
Find the exact values of cos theta, csc theta, tan theta

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let (-5,-7) be a point on the terminal side of theta.
Find the exact values of cos theta, csc theta, tan theta
---
In 3rd Quadrant you have x = -5, y = -7:
Then r = sqrt(5^2+7^2) = sqrt(60) = 2sqrt(15)
-----
sin = y/r = -7/(2sqrt(15))
cos = x/r = -5/(2sqrt(15))
tan = -7/-5 = 7/5
-----------------
csc, sec, and ctn are the inverse.
============
Cheers,
Stan H.