SOLUTION: Verify that (sec θ/sin θ)(cot θ/csc θ)= csc θ is an identity.
Thank You
Algebra.Com
Question 44214: Verify that (sec θ/sin θ)(cot θ/csc θ)= csc θ is an identity.
Thank You
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
(sec θ/sin θ)(cot θ/csc θ)= ?
sec θ = 1/cos θ
csc θ = 1/sin θ
cot θ = 1/tan θ = cos θ / sin θ
substitute these expressions into the first equation:
(sec θ/sin θ)(cot θ/csc θ) = (1/(cosθ sinθ))(cosθ sinθ/sinθ)
= (1/(cosθ sinθ))(cosθ)
= cosθ/(cosθ sinθ)
=1/sinθ
=cscθ
Just like that!
I hope this helps
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
RELATED QUESTIONS
Verify that secθ/sinθ (times) cotθ/cscθ is an identity (answered by solver91311)
Verify the identity. justify each step
sec θ/cscθ-cotθ-... (answered by Edwin McCravy)
Verify:... (answered by lwsshak3)
verify an identity:
1) tan(t)+ 2 cos(t)csc(t)=sec(t)+csc(t)+cot(t)... (answered by solver91311)
verify the identity. convert to sines and cosines.
cscθ - sinθ =... (answered by josgarithmetic)
Hello!
I need help solving this please.
Verify the identity.
3 cosθ... (answered by Edwin McCravy)
Prove tanθ*cot θ = secθ*cscθ (answered by solve_for_x)
tanθ*cotθ = secθ*cscθ (answered by Alan3354)
Verify the basic identity. What is the domain of validity?
cotθ =... (answered by tommyt3rd)