Prove that:Sectheta -1/sectheta+1=sin^2 theta/(1+costheta)^2 ?

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Answer 1 · 2018-06-11T13:41:39

Kindly see a Proof in the Explanation.

#(sectheta-1)/(sectheta+1)#,

#=(1/costheta-1)-:(1/costheta+1)#,

#=(1-costheta)/costheta-:(1+costheta)/costheta#,

#=(1-costheta)/(1+costheta)#,

#=(1-costheta)/(1+costheta)xx(1+costheta)/(1+costheta)#,

#=(1-cos^2theta)/(1+costheta)^2#,

#=sin^2theta/(1+costheta)^2#, as desired!