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

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

Find the integrals of the functions: sinx sin2x sin3x

Find the number of roots of equation sinx+sin5x=sin2x+ sin4x

If s_(n) ,be the sum of n terms of the series,sin x+sin2x+sin3x+......+sin nx then show that Lim it_(n rarr oo)(s_(1)+s_(2)+......+s_(n))/(n)=(1)/(2)cot((x)/(2))(x!=2k pi,k in I)

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

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

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

Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)

Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)