Home
Class 12
MATHS
Number of solutions of the equation sin^...

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 ________.

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(6) le x le (5pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLES ( Matching Type Questions )|1 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

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

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

Number of solutions of the equation sin x + cos x-2sqrt(2) sin x cos x=0 for x in [0, pi] is

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

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

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

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

The total number of solution of the equation sin^4 x +cos^4 x = sin x cos x in [0,2pi] is :

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

Number of solutions of equation 2"sin" x/2 cos^(2) x-2 "sin" x/2 sin^(2) x=cos^(2) x-sin^(2) x for x in [0, 4pi] is