Number of solutions of the equation cos^...

Number of solutions of the equation `cos^(4) 2x+2 sin^(2) 2x`
`=17 (cos x + sin x)^(8), 0 lt x lt 2 pi` is

A

4

B

8

C

10

D

16

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The number of solutions for the equation sin2x+cos 4x=2 is

Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0 in 0 le x le 3pi is ________.

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

Number of solutions of the equation 2 sin^3x + 6 sin^2x -sin x-3=0 in (0, 2pi), are

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(4)x+sin^(4) x+cos^(6)x+sin^(6) x=2 in the interval [0, 2pi] is _______.

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

The least difference between the roots of the equation : 4cosx(2 - 3sin^(2)x) + (cos2x + 1) = 0(0lt=xlt=pi/2) is :

Find the number of solution of the equations 2^(cos x)=|sin x|, when x in[-2pi,2pi]