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

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

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

Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta))=2sectheta

sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta)) is equal to

If cottheta = 7/8, evaluate . 1.) ((1+sintheta)(1-sintheta))/((1-costheta)(1+costheta))

If 0lt thetalt(pi)/(2')and if(y+1)/(1-y)=sqrt((1+sintheta)/(1-sintheta')) they y is equal to

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

Prove the following trigonometric identities: sqrt((1-sintheta)/(1+sintheta))=sectheta-tantheta sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta

If pi/2ltthetaltpi , then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sintheta)/(1-sintheta)) is equal to a. 2 sectheta b. -2sectheta c. sectheta d. -sectheta