Prove that `(1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2` .

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Prove that 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta .

Prove that sintheta/(1-costheta)=cosectheta+cottheta .

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

Prove that (tan^3theta-1)/(tantheta-1)=sec^2theta+tantheta .

Prove that (sintheta)/(1+costheta)+(1+costheta)/sintheta=2cosectheta .

Prove that (1+tan^2theta)sinthetacostheta=tantheta .

Prove that (sectheta+tantheta)(1-sintheta)=costheta .

Prove that (1+tan^2theta)(1-sintheta)(1+sintheta)=1 .

Prove that sqrt((sectheta-tantheta)/(sectheta+tantheta))=sectheta-tantheta .

Prove the following : (sintheta-costheta+1)/(sintheta+costheta-1)=(1)/(sectheta-tantheta) .