`(sintheta + costheta)^2-(sintheta-costheta)^2`

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

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

((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(6)theta)=?

If sectheta=(13)/5 , show that (2sintheta-3costheta)/(4sintheta-9costheta)=3

if tantheta=(4)/(3) , then the value of (3sintheta+2costheta)/(3sintheta-2costheta) is

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

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

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

If 4 tantheta=3, then ((4sintheta-costheta)/(4 sintheta+costheta)) is equal to