How do you verify the identify #csctheta/cottheta=sectheta#?

1 Answer
Aug 22, 2016

See below.

Explanation:

Apply the following identities:

#csctheta = 1/sintheta#

#cottheta = 1/(tan theta) = 1/(sintheta/costheta) = costheta/sintheta#

#sectheta = 1/costheta#

Now for the solution:

#(1/sintheta)/(costheta/sintheta) = 1/costheta#

#1/sintheta xx sintheta/costheta = 1/costheta#

#1/cancel(sintheta) xx cancel(sin theta)/costheta = 1/costheta#

#1/costheta = 1/costheta#

Identity proved!!

Hopefully this helps!