# trig

posted by brittney

Find the exact values requested. No decimal approximations.
Given that cot θ = 4 for an acute angle θ,
A. Find sinθ.
B. Find cos(2θ).

1. Reiny

cot Ø = 4
then tan Ø = 1/4, and Ø is acute, thus in quadrant I

Did you make a sketch of the triangle?
recall that tanØ = y/x
so y = 1, and x = 4
can you find r ?
How is sinØ defined in terms of x, y, and r ?
Did you know that
cos 2Ø = cos^2 Ø - sin^2 Ø ?

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