If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of `k` is

The arithmetic mean of the roots of the equation 4cos^3x-4cos^2x-cos(315pi+x)=1 in the interval (0,315pi) is equal to (A) 50pi (B) 51pi (C) 100pi (D) 315pi

The arithmetic mean of the roots of the equation 4cos^(3)x-4cos^(2)x-cos(315 pi+x)=1 in the interval (0,315 pi) is equal to (A)50 pi(B)51 pi(C)100 pi(D)315 pi

The number of solution of the equation sin^(3)x cos x+sin^(2)x cos^(2)x+cos^(3)x sin x+1=0 in the interval [0, 2pi] is equal to

The number of solution of the equation sin^(3)x cos x+sin^(2)x cos^(2)x+cos^(3)x sin x=1 in the interval [0, 2pi] is equal to

Find the real roots of the equation cos^(4)x+sin^(7)x=1 in the interval [-pi,pi]

Find the real roots of the equation cos^4x + sin^7x = 1 in the interval [-pi,pi]

If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic progression, then k is equal to

Find the no.of roots of the equation tan x+sec x=2cos x in the interval [0,2 pi]-