Prove that `(cosectheta+cottheta)/(cosectheta-cottheta)=(cosectheta+cottheta)^2`

1+cottheta="cosec"theta

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

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

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

Prove that sqrt((cosec theta+cottheta)/(cosec theta-cottheta))=(sin theta)/(1-costheta)

Prove that (sectheta +cosectheta)(sintheta+costheta)=2+secthetacosectheta

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

cosectheta=4/5 cottheta=?

Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta

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