`(sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - sinx) =`

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

(cos^3x-sin^3x)/(cosx-sinx)

Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

Defferentiate tan^(-1) ((sin x)/(1+cosx)) w.r.t. tan^(-1)((cos x)/(1+sinx))

(sinx+sin3x)/(cosx+cos3x) = tan2x

Prove that (sin3x + sinx)sinx + (cos3x - cosx)cosx = 0

3 (sinx - cosx)^(4) + 6 (sinx + cosx)^(2) + 4(sin^(6)x + cos^(6)x) =

The value of 3(sinx - cosx)^4 + 6(sinx + cosx)^2 + 4 (sin^6 x + cos^6 x) is

If f(x)=int_(2x)^(sinx)cos(t^(3))dt then f'(x) is equal to a) cos(sin^(3)x)cosx-2cos(8x^(3)) b) sin(sin^(3)x)sinx-2sin(8x^(3)) c) cos(cos^(3)x)cosx-2cos(x^(3)) d) cos(sin^(3)x)-cos(8x^(3))

Prove the following: (frac(sin3x)(cosx))+(frac(cos3x)(sinx))=2cot2x