`sinx + sin 3x + ........sin(2n-1)x= (sin^2 nx)/sinx`

sin x+sin3x+.......sin(2n-1)x=(sin^(2)nx)/(sin x)

sin x+sin3x+...+sin(2n-1)x=(sin^(2)nx)/(sin x)

For all ninNN , prove by principle of mathematical induction that, sinx+sin3x+ . . .+sin(2n-1)x=(sin^(2)nx)/(sinx)

sin x + sin2x + sin3x + ... + sin nx = (sin ((n + 1) / (2)) x (sin (nx)) / (2)) / (sin ((x) / (2)) )

For all ninNN , prove by principle of mathematical induction that, sinx+sin2x+sin3x+ . . . +sinnx=("sin"(n+1)/(2)x"sin"(nx)/(2))/("sin"(x)/(2))

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

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

If int sin 2x sin 3x dx = (sinx)/2 - (sin kx)/10 + c then the value of k is -

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

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