SOLUTION: Use fundamental identities to write the first expression in terms of the second, for any acute angle θ.
cos θ, cot θ
Algebra ->
Trigonometry-basics
-> SOLUTION: Use fundamental identities to write the first expression in terms of the second, for any acute angle θ.
cos θ, cot θ
Log On
Question 802915: Use fundamental identities to write the first expression in terms of the second, for any acute angle θ.
cos θ, cot θ Found 2 solutions by fcabanski, lwsshak3:Answer by fcabanski(1391) (Show Source):
You can put this solution on YOUR website! Use fundamental identities to write the first expression in terms of the second, for any acute angle θ.
cos θ, cot θ
***
cot^2θ=cos^2θ/sin^2θ
cot^2θ=cos^2θ/1-cos^2θ
cot^2θ(1-cos^2θ)=cos^2θ
cot^2θ-cot^2θ*cos^2θ=cos^2θ
cos^2θ+cot^2θ*cos^2θ=cot^2θ
cos^2θ(1+cot^2θ)=cot^2θ
cos^2θ=cot^2θ/(1+cot^2θ)
take sqrt of both sides
cosθ=cotθ/√(1+cot^2θ)
(
