sin x-2sin3xquad [2],[sin(n+1)x sin(n+2)x+cos(n+1)x cos(n+2)x=cos x],[(3 pi),(3 pi)]

Prove that: sin(n+1)x sin(n+2)x+cos(n+1)x cos(n+2)x=c

Prove that sin (n+1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

Prove that: sin (n + 1) x sin (n + 2)x + cos (n + 1) x cos (n + 2) x = cos x

Prove the following: sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x

Show that the general solution of sin x- 3 sin 2x+sin 3x= cos x-3 cos 2x+ cos 3x " is " ( n pi)/(2)+ (pi)/(8) , where n is any integer.

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)

Solve for x the equation |(a^(2),a,1),(sin(n+1)x,sin nx,sin(n-1)x),(cos(n+1)x,cosn x,cos(n-1)x)|=0

The solution of the equation sin^(3)x+sin x cos x+cos^(3)x=1 is (n in N)2n pi(b)(4n+1)(pi)/(2)(2n+1)pi(d) None of these

If 4cos x sin x*2sin x = 3sin x, then x = (i) n pi+(-1)^(n) (pi)/(10) (ii) n pi-(-1)^(n) ( pi)/(10) (iii) 2n pi+-(pi)/(10) (iv) n pi+(pi)/(10)

For n in N, int_(0)^(2pi) (x sin^(2n)x)/(sin^(2n) x + cos^(2n) x) dx=