Home
Class 12
MATHS
If |k|=5 and 0^(@) le theta le 360^(@) ...

If `|k|=5 and 0^(@) le theta le 360^(@) ` , then the number of different solution of ` 3 cos theta + 4 sin theta =k` is

A

zero

B

two

C

one

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|66 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|20 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The solution set of sin 3theta + cos 2theta = 0 iss

If tantheta=cottheta" and "0^(@) le theta le 90^(@) , state the value of theta .

If tantheta=cottheta" and "0^(@) le theta le 90^(@) , state the value of theta .

One of the general solutions of sqrt(3) cos theta -3 sin theta =4 sin 2 theta cos 3 theta is

The number of solutions of the equation sin 2 theta-2 cos theta +4 sin theta=4 in [0, 5pi] is equal to

Find the values of theta between 0^(@) and 360^(@) which satisfy the equation 3 cos 2 theta - sin theta = 2.

(i) If sec A = "cosec A and" 0^(@) le A le 90^(@) , State the value of A. (ii) If tan theta = cot theta and 0^(@) le theta le 90^(@) , State the value of theta .

If 0^(@)lt theta lt 90^(@) and cos theta=(4)/(5) find the values of tan(360^(@)-theta)

Find the number of solution for , sin 5 theta * cos 3 theta = sin 9 theta * cos 7 theta in [0,(pi)/2]

The number of values of theta satisfying 4 cos theta+3 sin theta=5 as well as 3 cos theta + 4 sin theta = 5 is

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. If |k|=5 and 0^(@) le theta le 360^(@) , then the number of different...

    Text Solution

    |

  2. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

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

    Text Solution

    |

  4. General solution of the equation, cos x cdot cos 6x = -1 is =

    Text Solution

    |

  5. The values of x satisfying the system of equation 2^("sin" x - "cos"...

    Text Solution

    |

  6. The general solution of the equation "tan" 3x = "tan" 5x, is

    Text Solution

    |

  7. The number of all possible ordered pairs (x, y), x, y in R satisfying ...

    Text Solution

    |

  8. If the expression ([s in(x/2)+cos(x/2)-i t a n(x)])/([1+2is in(x/2)])...

    Text Solution

    |

  9. Show that the equation , sec theta + "cosec" theta = c has two roots...

    Text Solution

    |

  10. Show that the equation , sec theta + "cosec" theta = c has two roots...

    Text Solution

    |

  11. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

    Text Solution

    |

  12. If sin(pi cos theta) = cos(pi sin theta), then the value of cos(the...

    Text Solution

    |

  13. If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi/...

    Text Solution

    |

  14. The general solution of "tan" ((pi)/(2)"sin" theta) ="cot"((pi)/(2)"co...

    Text Solution

    |

  15. The most general value of theta which satisfy both the equation cos th...

    Text Solution

    |

  16. The number of solutions of the x+2tanx = pi/2 in [0.2pi] is

    Text Solution

    |

  17. If "sin" (pi "cot" theta) = "cos" (pi "tan" theta), "then cosec" 2 the...

    Text Solution

    |

  18. The number of distinct roots of the equation A"sin"^(3) x + B"cos"^(3...

    Text Solution

    |

  19. Values of x between 0 and 2 pi which satisfy the equation sin x sqr...

    Text Solution

    |

  20. If Cos20^0=k and Cosx=2k^2-1, then the possible values of x between 0^...

    Text Solution

    |