SOLUTION: Given tan theta=-4/5 and cos theta > 0, find the exact values of sin theta and sec theta.

Algebra ->  Trigonometry-basics -> SOLUTION: Given tan theta=-4/5 and cos theta > 0, find the exact values of sin theta and sec theta.      Log On


   



Question 951257: Given tan theta=-4/5 and cos theta > 0, find the exact values of sin theta and sec theta.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Very similar to this one:
===================
If tan theta=3/2 and cos theta<0, find the other five trig functions of theta
----------
tan = y/x = 3/2
r = sqrt(y^2 + x^2) = sqrt(13)
-----
tan + and cos < 0 --> Q3
---
sin = y/r = 3/sqrt(13) --> -3sqrt(13)/13
cos = x/r = 2sqrt(13)/13
cot = 1/tan
sec = 1/cos
csc = 1/sin