Home
Class 12
MATHS
The equation sin x + sin y + sin z =-3 ...

The equation ` sin x + sin y + sin z =-3 ` for ` 0 le x le 2pi `, `0 le y le 2pi , o le z le 2pi`, has

A

one solution

B

two sets of solutions

C

four sets of solutions

D

no solutions

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|8 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

If sin^-1 x = y , then 0 le y le pi

If 0 lt x lt 2 pi and |cos x| le sin x , then

If cos x- sin x ge 1 and 0 le x le 2pi , then find the solution set for x .

Using integration , find the area of the region given below. {(x,y): 0 le y le x^2+1, 0 le y le x+1, 0 le x le 2}

Draw the graph of y=sin x and y=cosx, 0 le x le 2pi

The area bounded by the y-axis, y = cos x and y = sin x, 0 le x le pi/4 is

Find the intervals in which the function 'f' given by: f(x) = sin x-cosx , 0 le x le 2pi is strictly increasing or decreasing.

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le...

    Text Solution

    |

  2. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

    Text Solution

    |

  3. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y l...

    Text Solution

    |

  4. If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the root...

    Text Solution

    |

  5. If tan m theta = tan n theta and general value of theta are in AP,...

    Text Solution

    |

  6. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

    Text Solution

    |

  7. lambda cos x - 3 sinx=lambda +1 is solvable for which value of λ .

    Text Solution

    |

  8. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

    Text Solution

    |

  9. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

    Text Solution

    |

  10. If sin^(100) theta - cos^(100) theta =1 , then theta is

    Text Solution

    |

  11. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

    Text Solution

    |

  12. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

  13. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

    Text Solution

    |

  14. If e^[(sin^(2)x+sin^(4) x +sin^(6)x+.... oo) loge2] satisfies the equ...

    Text Solution

    |

  15. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

    Text Solution

    |

  16. Solve : cos 3x. Cos^(3)x+sin 3x.sin^(3)x=0

    Text Solution

    |

  17. Total number of solutions of sinx=(|x|)/(10) is equal to

    Text Solution

    |

  18. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

    Text Solution

    |

  19. alpha and beta are two positive value of x for which 2 cos x,|cos x...

    Text Solution

    |

  20. If cos x-(cot beta sinx )/( 2 )=sqrt(3)/(2) , then the value of tan...

    Text Solution

    |