SOLUTION: Use fundamental identities to write the first expression in terms of the second, for any acute angle θ. cos θ, cot θ

Algebra.Com
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!
cot = cos/sin.


cos = cos/sin * sin = cot * sin
Answer by lwsshak3(11628)   (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)

RELATED QUESTIONS

Use fundamental identities to write the first expression in terms of the second, for any... (answered by Alan3354)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by stanbon)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by ikleyn)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by ikleyn)
Question 802915: Use fundamental identities to write the first expression in terms of the (answered by stanbon)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by stanbon)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by stanbon)
Use fundamental identities to write the first expression in terms of the second, for and... (answered by lwsshak3)
use fundamental identities to write cot(theta) in terms of sin(theta) for any acute angle (answered by stanbon)