`(sintheta-costheta)/(sintheta+costheta)=(1-cottheta)/(1+cottheta)`

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

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

prove that- (sintheta+1-costheta)/(costheta-1+sintheta)=(1+sintheta)/costheta

costheta -sintheta -cottheta +1=0

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

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