How do you verify the identity #sectheta/sintheta-sintheta/costheta=cottheta#?

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Answer 1 · 2016-08-23T12:44:31

Please see the Proof in Explanation.

#"The L.H.S."#=sectheta/sintheta - sintheta/costheta#

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

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

#=(1-sin^2theta)/(sinthetacostheta)#

#=cos^2theta/(sinthetacostheta)#

#=costheta/sintheta#

#=cottheta#

#="The R.H.S."#

Hence, the Proof.

Enjoy Maths.!