If `sinx sin3x =c_0+c_1cosx+c_2cos2x+....+c_ncosnx`

sin^(3)x sin3x=c_(0)-c_(1)cos x+c_(2)cos2x+....c_(n)cos nx

If sin^3x sin3x= sum_(n=0)^6 c_n cos^n x where c_0, c_1, c_2,...c_6 are constants. then find the value of c_4

The number of solution of sinx+sin2x+sin3x=cosx+cos2x+cos3x ,0lt=xlt=2pi, is (a)7 (b)5 (c) 4 (d) 6

The number of solution of sinx+sin2x+sin3x=cosx+cos2x+cos3x ,0lt=xlt=2pi, is (a)7 (b)5 (c) 4 (d) 6

Prove that (sin3x + sinx)sinx + (cos3x - cosx)cosx = 0

The number of distinct roots of |(sinx, cosx, cosx),(cosx, sinx, cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (A) 0 (B) 2 (C) 1 (4) 2

Which of the following functions is not periodic? (a) |sin3x|+sin^2x (b) cossqrt(x)+cos^2x (c) cos4x+tan^2x (d) cos2x+sinx

Which of the following functions is not periodie? (a) |sin3x|+sin^2x (b) cossqrt(x)+cos^2x (c) cos4x+tan^2x (d) cos2x+sinx

Which of the following functions is not periodic? (a) |sin3x|+sin^2x (b) cossqrt(x)+cos^2x (c) cos4x+tan^2x (d) cos2x+sinx

if sin^(3)x sin3x=sum C_(m)cos^(m)x where c_(0),c_(1),c_(2).....c_(6) are constants then :