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

((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)=?

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)

If t a ntheta=a/b ,\ show that (a\ sintheta-b costheta)/(\ a\ sintheta+b\ costheta)=(a^2-b^2)/(a^2+b^2)

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

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

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

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

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