Find the sum of `sinx+3sin3x+5sin5x+...........+(2k-1)sin(2k-1)x.`

Find the range of y=sin^3x-6sin^2x+11sinx-6.

Find the general solution of sin x + sin 5x = sin 2 x + sin 4 x .

Find the integrals of the functions: sinx sin2x sin3x

Find all the solution of 4 cos^(2)x sinx -2 sin^(2) x=3 sinx

Find the range of the function " " f(x)=(sin^(2)x+sinx-1)/(sin^(2)x-sinx+2) .

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Prove that sin2x + sin8x = 2sin5x cos3x