Show that `2x > 3 sinx - x cosx, 0 < x < pi/2`

Show that, sin3x + cos3x = (cosx-sinx)(1+4sinx cosx)

Show that, sin3x + cos3x = (cosx-sinx)(1+4sinx cosx)

Show that : 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x-cos^6x) is independent of x

Show that f(x)=sinx(1+cosx) is maximum at x=pi/3 in the interval [0,\ pi] .

Let F(x)= [cosx -sinx 0 sinx cosx 0 0 0 1] . Show that F(x)\ F(y)=F(x+y)

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

Show that 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=13

If sinx - cosx = 0, then the value of (sin^3 x-cos^3 x) is: यदि sinx - cosx = 0 ,तो (sin^3 x-cos^3 x) मान होगा :

Show that f (x) f (y) = f(x+y) , where f(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] .

If cosx + cosy + cosz = 0 and sinx + siny + sinz =0 , then show that cos (x-y) + cos(y - z) + cos(z - x) = - 3/2.