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

7

B

9

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS
DISHA PUBLICATION|Exercise EXERCISE-1|70 Videos
TRIGONOMETRIC FUNCTIONS
DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos
THREE DIMENSIONAL GEOMETRY
DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
VECTOR ALGEBRA
DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If 0<=x<2 pi, then the number of real values of x, which satisfy the equation cos x+cos2x+cos3x+cos4x=0

0<=x<2 pi0<=x<2 pi ,then the number of real values of x, which satisfy the equation quad cos x+cos2x+cos3x+cos4x=0 is :(1)3(2)5(3)7(4)9

For 0 le x le (pi)/(2) , the number of values of x satisfying the equation tan x+ sec x = cos x is

The number of values of x in [0,2pi] satisfying the equation 3cos2x-10cosx+7=0 is

The number of values of x in [0,5 pi] satisfying the equation 3cos^(2)x-10cos x+7=0

Number of values of x satisfying the equation cos(4pi/3-cos^-1x)=x is

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2

If 0 le x le 2pi, then the number of real values of x, which satisfy t...
Text Solution
|
The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (...
Text Solution
|
Solve the inequality, cosxle-1/2.
Text Solution
|
Two men are on the opposite sides of a tower. They measure the angles ...
Text Solution
|
The range of vlaues of the expression 5 cos theta + 3 cos (theta + (pi...
Text Solution
|
The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is
Text Solution
|
Which pairs of function is identical ?
Text Solution
|
If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...
Text Solution
|
If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...
Text Solution
|
Period of sin theta - sqrt2 cos theta is
Text Solution
|
tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=
Text Solution
|
Which of the following is correct ?
Text Solution
|
if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...
Text Solution
|
If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...
Text Solution
|
The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...
Text Solution
|
General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...
Text Solution
|
A man observe that was he has climbed up 1/3 of the length of an incli...
Text Solution
|
The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is
Text Solution
|
If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...
Text Solution
|
The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...
Text Solution
|
The range of f(x) = cos x - sin x is
Text Solution
|