`(sintheta-costheta+1)/(sintheta+costheta-1)=(1+sintheta)/costheta`

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

If int(sintheta-costheta)/((sintheta+costheta)sqrt(sinthetacostheta+sin^(2)thetacos^(2)theta))d theta = "cosec"^(_1)(f(theta))+C , then

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

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

Prove that (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta) , using the identity sec^2theta=1+tan^2theta

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

Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

(sintheta)/(1+costheta) is equal to (a) (1+costheta)/(sintheta) (b) (1-costheta)/(costheta) (c) (1-costheta)/(sintheta) (d) (1-sintheta)/(costheta)

Prove the following identity: (costheta)/(1-sintheta)=(1+costheta+sintheta)/(1+costheta-sintheta)

Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta