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

lim_{x\rightarrow 0}(cosx-cos3x)/(x(sin 3x-sinx)) is equal to

The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

If int(cosx-sinx)/(sqrt(8-sin2x))dx=sin^(-1)((sinx+cosx)/(a))+C then a =

Find the sum to n terms of the series (sinx)/(cosx+cos2x)+(sin2x)/(cosx+cos4x)+(sin3x)/(cosx+cos6x)+…

Evaluate: (i) int(sinx+2cosx)/(2sinx+cosx)\ dx (ii) int(cos4x-cos2x)/(sin4x-sin2x)\ dx

Prove that sinx/cos(3x)+sin(3x)/cos(9x)+sin(9x)/cos(27x)=1/2 (tan27x-tanx)

Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx-sin^3x|]], x != pi/2 for x in (0,pi), f(pi/2) = 3 where [ ] denotes the greatest integer function then,

lim_(x->pi/4)(2sqrt(2)-(cosx+sinx)^3)/(1-sin2x)=

If int(dx)/(cos^(3)x-sin^(3)x)=Atan^(-1)(sinx+cosx)+Bln(f(x))+C , then A is equal to

Solve (sin^3x/2-cos^3x/2)/(2+sinx)=(cosx)/3