If 0 le x le 2pi, then the number of rea...

If `0 le x le 2pi`, then the number of real values of x, which satisfy the equation `cos x + cos 2x + cos 3x + cos 4x=0`, is

A

3

B

5

C

7

D

9

Verified by Experts

The correct Answer is:

C

TRIGONOMETRIC EQUATIONS AND INEQUATIONS
ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|23 Videos
THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Find the number of value of x in [0,5pi] satisfying the equation 3 cos2x -10 cos x +7=0

Number of values of x satisfying the equation cos ( 3 arc cos ( x-1)) = 0 is equal to

The number of values of yin[-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is

Find the set of values of x , which satisfy sin x * cos^(3) x gt cos * sin^(3) x , 0 le x le 2pi .

The number of real solutions of the equation sqrt(1+cos 2x) = sqrt2 cos^-1 in [pi/2, pi) is

Find the values of x in (-pi, pi) , which satisfy the equation : 8^(1+|cos x|+cos^2 x+..... to oo)=4^3 .

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

Solve the following trigonometric equation : cos x + cos 3x - 2 cos2x=0 .

Solve the following trigonometric equation : cos x + cos 3x + cos 2x = 0.

The number of solutions of the equation cos 4x+6=7 cos 2x , when x in[315^(@),317^(@)] is