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

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

Prove that sintheta/(1-costheta)=cosectheta+cot theta

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

Evaluate : ( sintheta + costheta ) ( sintheta - costheta )

If sintheta+costheta=x then sintheta-costheta=?

If (1+ sintheta-costheta)/(1+ sintheta + costheta)+(1+sintheta+costheta)/(1+sintheta-costheta)= 4 , then which of the following values will be suitable for theta ?

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

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

i) Prove that: (cot^(2)A)/(1-"cosec"A)^(2)=(1+sinA)/(1-sinA) ii) Prove that: (costheta)/(1-tantheta)+(sintheta)/(1-cottheta)=sintheta+costheta