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Prove the following identities: (cos e ...

Prove the following identities: `(cos e ctheta-cottheta)^2=(1-costheta)/(1+costheta)`

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Prove the following identities: (cottheta+cosectheta)^2=(1+costheta)/(1-costheta)

Prove the following identities: (1-costheta)/(1+costheta)=(cos e ctheta-cottheta)^2

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)=1/(tantheta+cottheta)

Prove the following identities : (cottheta+cosectheta-1)/(cottheta-cosectheta+1)=(1+costheta)/(sintheta)

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

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

Prove the following identities: sqrt((1-costheta)/(1+costheta))=cosectheta-cottheta

Prove the following identities: (cosec theta-sintheta)^2+(sectheta-costheta)^2-(tantheta-cottheta)^2=1

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta