Home
Class 12
MATHS
If [x] dnote the greatest integer less t...

If [x] dnote the greatest integer less than or equal to x then the equation ` sin x=[1+sin x ]+[1-cos x ][` has no solution in

A

`[-(pi)/(2),(pi)/(2)]`

B

`[(pi)/(2),pi]`

C

`[pi,(3pi)/(2)]`

D

R

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|12 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|60 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

Similar Questions

Explore conceptually related problems

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

If [x] denotes the greatest integer less than or equal to x, then the value of lim_(x rarr1)(1-x+[x-1]+[1-x]) is

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

If [x] denotes,the greate tinteger less than or equal to x, then,Lt_(x rarr oo)(sin[cos x])/(1+[cos x])=

if [x] denotes the greatest integer less than or equal to x, than lim_(xrarr0)(x[x])/(sin|x|) , is

Let [x] be the greatest integer less than or equal to x, for a real number x. Then the equation [x^2]=x+1 has

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (More Than One Correct Option Type Questions)
  1. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

    Text Solution

    |

  2. If x+y=2pi//3 and sin x//siny=2, then the

    Text Solution

    |

  3. If 0 le x le 2pi and |cos x | le sin x , the

    Text Solution

    |

  4. If x and y are positive acute angles such that (x+y) and (x-y) satisf...

    Text Solution

    |

  5. If x+y=(4pi)/(3) and sin x = 2 sin y , then

    Text Solution

    |

  6. The number of solutions of the equations y=1/3[sin theta+[sin theta +[...

    Text Solution

    |

  7. If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi], (where ,[.] denotes th ...

    Text Solution

    |

  8. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |

  9. The number of value of alpha in the interval [-pi,0] satisfying sin...

    Text Solution

    |

  10. Find the number of solution of theta in [0,2pi] satisfying the equatio...

    Text Solution

    |

  11. If alpha and beta are the solution of a cos theta + b sin theta = c...

    Text Solution

    |

  12. The solution of the equation sin 2x + sin 4x = 2 sin 3x is

    Text Solution

    |

  13. The general solution of 4sin^(4) x + cos^(4) x=1 is

    Text Solution

    |

  14. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  15. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  16. The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2...

    Text Solution

    |

  17. For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sq...

    Text Solution

    |

  18. Which of the following is/are correct .

    Text Solution

    |

  19. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

    Text Solution

    |

  20. If [x] dnote the greatest integer less than or equal to x then the equ...

    Text Solution

    |