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

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

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

Prove the following identities: (1+cottheta-cosectheta)(1+tantheta+sectheta)=2

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

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

Prove the following identities: (frac(tantheta)(sectheta-1))=(frac(sectheta-1)(tantheta))

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

Prove the following identities: (sintheta+costheta)(tantheta+cottheta)=sectheta+cosectheta

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

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