prove `(tantheta +sectheta-1)/(tantheta-sectheta+1)`=`(1+sintheta)/(costheta)`

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

Prove that : (sectheta+tantheta-1)/(tantheta-sectheta+1)=(costheta)/(1-sintheta)

Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2

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

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

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

Solve: (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

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

Prove that : (sectheta-tantheta)^(2)=(1-sintheta)/(1+sintheta)

Prove that : (tan theta)/(sectheta+1)-(tantheta)/(1-sectheta)=2cosec theta