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

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

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

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

Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s e ctheta+1)=(1+sintheta)/(costheta)

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

Prove the following identity: cos e c\ theta(s e ctheta-1)-cottheta(1-costheta)=t a ntheta-sintheta

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

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

The value of sqrt((1+costheta)/(1-costheta)) is (a) cottheta-cos e c\ theta (b) cos e c\ theta+cottheta (c) cos e c^2theta+cot^2theta (d) (cottheta+cos e c\ theta)^2

If cos e ctheta-cottheta=q , then the value of cos e ctheta is