SOLUTION: Find the exact value of this expression: cos ( tan^1 ( 1/4 ) )

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of this expression: cos ( tan^1 ( 1/4 ) )      Log On


   



Question 512069: Find the exact value of this expression:
cos ( tan^1 ( 1/4 ) )

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value of this expression:
cos ( tan^-1 ( 1/4 ) )
====
Since tan = 1/4, y = 1 and x = 4
---
Then r = sqrt[1^2+4^2] = sqrt(17)
----
So, cos = x/r = 4/sqrt(17)
==============================
Cheers,
Stan H.
---------------