SOLUTION: use the fundamental identities to find secant theta if tan theta equals 3 and cos theta is greater than 0

Algebra ->  Trigonometry-basics -> SOLUTION: use the fundamental identities to find secant theta if tan theta equals 3 and cos theta is greater than 0      Log On


   

Question 833757: use the fundamental identities to find secant theta if tan theta equals 3 and cos theta is greater than 0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
use the fundamental identities to find secant theta if tan theta equals 3 and cos theta is greater than 0
-------
tan(t) = 3
cos(t) > 0
-----
Those conditions mean t is in QI where x and y are both positive.
----------------------------------
Since tan = y/x, y = 3 and x = 1
---
Then r = sqrt[3^2+1] = sqrt(10)
--------
Ans: sec(t) = r/x = sqrt(10)
----------------------------------
cheers,
Stan H.
===================