SOLUTION: Verify that (sec θ/sin θ)(cot θ/csc θ)= csc θ is an identity. Thank You

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Question 44214: Verify that (sec θ/sin θ)(cot θ/csc θ)= csc θ is an identity.
Thank You
Answer by adamchapman(301) About Me  (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