" Fe sin "x+sin3x+...+sin(2n-1)x=(sin^(2)mx)/(sin x)

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

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

Prove that: \ sin x+sin3x++sin(2n-1)x=(sin^2\ \ n x)/(sin x) for all n in NN

sin 2x.sin 3x.sin 4x

sin x sin 2x sin 3x

sin x sin 2x sin 3x

(sin x) / (sin2x sin3x) + (sin x) / (sin3x sin4x) + (sin x) / (sin4x sin5x) + .... n

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

Prove that: ,,(sin x-sin3x)/(sin^(2)x-cos^(2)x)=2sin x

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))