Home
Class 12
MATHS
The solution set of (2"cos"x-1)(3+2"cos"...

The solution set of `(2"cos"x-1)(3+2"cos"x) = 0` in the interval `0 le x le 2 pi`, is

A

`{pi//3}`

B

`{pi//3, 5pi//3}`

C

`{pi//3,5pi//3,cos^(-1). (-3//2)}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES)|2 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

The solution set of (2cos x-1)(3+2cos x)=0 in the interval 0<=x<=2 pi is

Find minium value of (9x^(2)sin^(2)x+4)/(2sinx.x) in the interval 0 le x le pi .

Knowledge Check

  • The solution of (2 cos x – 1) (3 + 2 cos x) = 0 in the interval 0 lt= x lt= 2pi is

    A
    `pi/3`
    B
    `pi/3, (5pi)/(3)`
    C
    `pi/3, (5pi)/(3), cos^(-1) (-3/2) `
    D
    none of these

  • The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "sin" 2x (0 le x le pi) , is

    A
    `pi-"cot"^(-1)(1)/(2)`
    B
    `pi - "tan"^(-1) 2`
    C
    `pi + "tan"^(-1) (-(1)/(2))`
    D
    none of these

  • The number of roots of equation cos x + cos 2x + cos 3x = 0 is ( 0 le x le 2 pi)

    A
    4
    B
    5
    C
    6
    D
    8

    • Similar Questions

    Explore conceptually related problems

    The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,cos x),(cos x,cos x,sin x)|=0 in the interval -(pi)/4 le x le (pi)/4 is

    The solution set of inequation cos x+(1)/(2)>=0 is [-pi,pi] is

    Number of solution of the equation sin 2x + cos 2x + sin x + cos x + 1 = 0 In the interval, (0, pi//2) is

    The number of solutions of the equation (1- cos 2 x)(cos 2x+ cot^2 x)=0,0 le x le 2 pi is

    The number of solution of sin^(4)x-cos^(2) x sin x+2 sin^(2)x+sin x=0 in 0 le x le 3 pi is

    Home
    Profile