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

sinx+sin3x+sin5x=0

sinx+sin3x+sin5x=0

If sinx +sin3x+sin5x=0, then

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 f(x)=(2sin^(2)x+2sin x+3)/(sin^(2)x+sin x+1)

If an angle 'r' is divided in two parts A and B such that A-B=x and tan A: tan B=K:1 then the value of sin x is 1) (k+1)/(k-1)sin r, 2) (k)/(k+1)sin r 3) (k-1)/(k+1)sin r 4) None

The number of solution of sin^(3)x cos x + sin^(2)x cos^(2)x+sinx cos^(3)x=1 in [0,2pi) is k-2 then k is ______

Evaluate: lim_(xto0)(sinx-2sin3x+sin5x)/x