`sinx sin(cosx)`

Evaluate the following determinants: |(sinx,cosx,sinx+cosx),(siny, cosx, sin y + cosx),(sinz,cosx, sinz+cosx)|

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

Prove that: (sinx +sin3x)/(cosx+cos3x)=tan2x

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)+pi/2) is

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

Let 0ltalpha,beta,gammalt(pi)/2 are the solutions of the equations cosx=x,cos(sinx)=x and sin(cosx)=x respectively, then show that gammaltalphaltbeta .

Let 0ltalpha,beta,gammalt(pi)/2 are the solutions of the equations cosx=x,cos(sinx)=x and sin(cosx)=x respectively, then show that gammaltalphaltbeta .