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, 0 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

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

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

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

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

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.

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

Find the intervals in which the function given by : f (x) = sin x + cos x , 0 le x le 2pi . is strictly increasing and strictly decreasing.

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alph...

    Text Solution

    |

  11. The value of the determinants |{:(1,a,a^(2)),(cos(n-1)x,cos nx , cos(n...

    Text Solution

    |

  12. If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

    Text Solution

    |

  13. If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin...

    Text Solution

    |

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

    Text Solution

    |

  15. If sec x cos 5x+1=0 , where 0lt x ltπ/2, then x=

    Text Solution

    |

  16. If |k|=5 and 0^(@) le theta le 360^(@) , then the number of different...

    Text Solution

    |

  17. If "cot"(alpha+beta=0, then "sin"(alpha+2beta can be

    Text Solution

    |

  18. If : cot theta + cot((pi)/4 + theta) = 2, then : theta =

    Text Solution

    |

  19. If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))), then the valu...

    Text Solution

    |

  20. Evaluate int(sin^2x + cos^2x)dx

    Text Solution

    |