Home
Class 14
MATHS
If k=(1-sinalpha)(1-sinbeta)(1-singamma...

If `k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+singamma)`, then the value of k is:

A

`+-cos alpha cos beta cos gamma`

B

`+-sin alpha sin betasin gamma

C

`+-sin alpha cos beta cos gamma`

D

`+- sin alpha sin beta cos alpha`

Text Solution

Verified by Experts

The correct Answer is:
A
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 : (1-sin alpha)(1-sin beta)(1-singamma)=(1+sinalpha)(1+sin beta)(1+sin gamma), then one value of each side is

If k=(1-sinalpha).(1-sinbeta).(1-singamma)=(1+sinalpha).(1+sinbeta).(1+singamma) then find k.

If (1 + sin alpha) (1 + sin beta) (1 + sin gamma) = (1 - sinalpha) ( 1 - sin beta) ( 1- sin gamma) = k . find the value of k?

If k + 1 = sec^2A (1 - sin A) (1 + sin A), then the value of k is:

If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 then the value of sin 3alpha+8sin3beta+27sin 3gamma , is

If cosalpha+cosbeta+cosgamma=sinalpha+sinbeta+singamma=0 , then the value of cos3alpha+cos3beta+cos3gamma is

If sinalpha=1/2 and cosbeta=1/2 , then the value of (alpha+beta) is

If (1+sinx)(1+siny)(1+sinz)=(1-sinx)(1-siny)(1-sinz)=k, then k has the value

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If (sintheta)/(x)=(costheta)/(y) then sintheta-costheta is equal to

    Text Solution

    |

  2. If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then fin...

    Text Solution

    |

  3. If k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+si...

    Text Solution

    |

  4. The numerical value of (1)/(1+cot^(2)theta)+(3)/(1+tan^(2)theta)+2 ...

    Text Solution

    |

  5. If thetagt0 be an acute angle , then the value of theta in deg...

    Text Solution

    |

  6. If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + co...

    Text Solution

    |

  7. The value of sectheta((1+sin theta)/(costheta)+(costheta)/(1+sinthe...

    Text Solution

    |

  8. The value of cot17^(@)(cot73^(@)cos^(2)22^(@)+(1)/(cot17^(@)sec^(2)...

    Text Solution

    |

  9. The elimination of theta from x cos theta+ysin theta=2 and xsin theta-...

    Text Solution

    |

  10. The value of [(cos^(2)A(sinA+cosA))/("cosec"^(2)A(sinA-cosA))+(sin^...

    Text Solution

    |

  11. The value of (1)/("cosec"theta-cottheta)-(1)/(sintheta) is

    Text Solution

    |

  12. If costheta+sintheta=sqrt(2)costheta , then costheta-sintheta is

    Text Solution

    |

  13. If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)thet...

    Text Solution

    |

  14. Find the value of (1)/((1+tan^(2)theta))+(1)/((1+cot^(2)theta))

    Text Solution

    |

  15. theta is a positive acute angle and sin theta-costheta=0 , then ...

    Text Solution

    |

  16. The value of (sinA)/(1+cosA)+(sinA)/(1-cosA) is (0^(@)ltAlt90^(@))

    Text Solution

    |

  17. If xcostheta-ysin theta=sqrt(x^(2)+y^(2))and(cos^(2)theta)/(a^(2))+(s...

    Text Solution

    |

  18. If tantheta-cottheta=0 , find the value of sintheta+costheta.

    Text Solution

    |

  19. The greatest value of sin^(4)theta+cos^(4)theta is

    Text Solution

    |

  20. tantheta+cot theta=2:

    Text Solution

    |