SOLUTION: Suppose 0 < &#952; < &#960;/2 and tan&#952;= 2/3. Evaluate cos&#952; and sin&#952; This is precalc

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Question 870561: Suppose

0 < θ < π/2 and tanθ= 2/3.
Evaluate cosθ and sinθ
This is precalc
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangle, hypotenuse is 1. Choose either nonright angles, say t. sin(t)=y and cos(t)=x. You know tan%28t%29=y%2Fx=2%2F3. You also know x%5E2%2By%5E2=1. You now have two equations in two unknowns of x and y.

...?
Good?