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

Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(cos^2theta)=2((1+sin^2theta)/(1-sin^2theta))

Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(cos^2theta)=2((1+sin^2theta)/(1-sin^2theta))

Prove the following trigonometric identities: cos^2theta+1/(1+cot^2theta)=1 (ii) 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta

If cottheta=15/8 , then Evaluate ((2+2sintheta)(1-sintheta))/((1+costheta)(2-2costheta))

If theta=240^@ is the following statement correct? 2sin\ theta/2=sqrt(1+sintheta)-sqrt(1-sintheta)

If alpha, beta are roots of x^2 sintheta-(costhetasintheta+1)x+costheta=0 where alphaltbeta and thetaepsilon(0,pi//4) then value of sum_(n=0)^oo(alpha^n +((-1)^n)/beta^n) (A) (1-costheta)/(sintheta)+(1-sintheta)/(costheta) (B) 1/(1+costheta)+1/(1-sintheta) (C) 1/(1-costheta)+1/(1-sintheta) (D) 1/(1-costheta) +1/(1+sintheta)

If 0 leq theta leq pi and sin(theta/2)=sqrt(1+sintheta)-sqrt(1-sintheta) , then the possible value of tan theta is (a) 4/3 (b) 0 (c) -3/4 (d) -4/3

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

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

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