Slove`(2sinx-cosx)(1+cosx)=sin^2x`

sinx + cosx = (cos2x)/(1-sin2x)

Prove that (1+sinx-cosx)/(1+sinx+cosx)+(1+sinx+cosx)/(1+sinx-cosx) =2+2"cosec "x

int(cosx+sinx)/sqrt(sin2x)dx= (A) sin^-1(cosx+sinx) (B) sin^-1(sinx-cosx) (C) cos^-1(cosx+sinx) (D) none of these

Prove that (1+sinx-cosx)/(1+sinx+cosx) +(1+sinx+cosx)/(1+sinx-cosx) =2 cosec x

Prove that (1+sinx-cosx)/(1+sinx+cosx) +(1+sinx+cosx)/(1+sinx-cosx) =2 cosec x

Integrate int((sinx-cosx)/(sqrt(1-sin2x))e^(sinx).cosx dx

int(sinx-cosx)/(sqrt(1-sin2x))e^(sinx)cosx dx is equal to

int(sinx-cosx)/(sqrt(1-sin2x))e^(sinx)cosx dx is equal to

"If "y=(sinx)^(cosx)+(cosx)^(sinx)", prove that "(dy)/(dx)=(sinx)^(cosx).[cot x cos x-sin x(log sinx)]+(cosx)^(sinx).[cosx(log cos x)-sinx tanx].