`1/(c o s e ctheta-cottheta)-1/(sintheta)=1/(sintheta)-1/(c o s e ctheta+cottheta)`

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

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

1/(cosectheta+cottheta)-1/sintheta=1/sintheta-1/(cosectheta-cottheta) .

Prove that (costheta-sintheta+1)/(costheta+sintheta-1)=c o s e ctheta+cottheta

Prove: (sintheta)/(1-costheta)=cos e c\ theta+cottheta

Prove: (1+costheta-sin^2theta)/(sintheta(1+costheta))= cottheta

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

Prove that : (1+costheta-sin^2 theta)/(sintheta(1+costheta))=cottheta .

Prove that (1+costheta-sin^(2)theta)/(sintheta(1+costheta))=cottheta

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