Home
Class 14
MATHS
If a sin theta + b cos theta = c then th...

If a `sin theta + b cos theta = c` then the value of a `cos theta -b sin theta` is :

A

`+-sqrt(-a^(2)+b^(2)+c^(2))`

B

`+-sqrt(a^(2)+b^(2)-c^(2))`

C

`+-sqrt(a^(2)-b^(2)-c^(2))`

D

`+-sqrt(a^(2)-b^(2)+c^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

If a cos theta + b sin theta = c, then what is the value of a sin theta - b cos theta ?

If cos theta + sin theta =sqrt2 cos theta , then the value of (cos theta -sin theta)/(sin theta) is

If sin theta + cos theta =1, the value of sin theta cos theta is

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

The extreme values of a sin theta-b cos theta

sin theta+cos theta=sqrt(3)cos theta then find the value of cos theta-sin theta is

If (sin theta + cos theta)/(sin theta - cos theta)=3 , then the value of sin^(4)theta - cos^(4)theta is:

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If sectheta+tantheta=sqrt(3)(o^(@)lethetale90^(@)) then tantheta is

    Text Solution

    |

  2. If sin(60^(@)-theta)=cos(Psi-30^(@)) , then the value of tan(Psi-theta...

    Text Solution

    |

  3. If a sin theta + b cos theta = c then the value of a cos theta -b sin ...

    Text Solution

    |

  4. Maximum value of (2 sin theta + 3 cos theta) is

    Text Solution

    |

  5. The value of 152 ( sin 30^@ + 2cos^2 45^@ + 3 sin 30^@ + 4 cos^2 45...

    Text Solution

    |

  6. sin^2 theta - 3 sin theta +2=0 will be true if

    Text Solution

    |

  7. If tan alpha = n tan beta and sin alpha = m sin beta, then cos^2 alpha...

    Text Solution

    |

  8. If cosx=sinyand cot(x-40^(@)=tan(50^(@)-y) , then the values of x ...

    Text Solution

    |

  9. If cosec theta-cottheta=(7)/(2) , the value of cosectheta is :

    Text Solution

    |

  10. If xsin45^(@)=y"cosec " 30^(@), then (x^(4))/(y^(4)) is equal to

    Text Solution

    |

  11. If 5tantheta=4 , then (5sintheta-3costheta)/(5sintheta+2costheta) is ...

    Text Solution

    |

  12. sec^(2)theta = 4xy/(x+y)^(2) is true if and only if

    Text Solution

    |

  13. If alpha+beta=90^(@),then the value of (1-sin^(2)alpha)(1-cos^(2)alph...

    Text Solution

    |

  14. The minium value of 4tan^(2)theta+9cot^(2)theta is equal to

    Text Solution

    |

  15. If sin7x=cos11x, then the value of tan9x+cot9x is

    Text Solution

    |

  16. If tan^(2)alpha=1+2tan^(2)beta, then sqrt(2)cosalpha+cosbeta is equal ...

    Text Solution

    |

  17. If theta be acute angle and costheta=(15)/(17) , then the value of ...

    Text Solution

    |

  18. If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=...

    Text Solution

    |

  19. If 0lt xlt(pi)/(2)andsecx= "cosecy" then the value of sin(x+y) is :

    Text Solution

    |

  20. If A, B and C be the angles of a triangle, then which of the following...

    Text Solution

    |