Home
Class 14
MATHS
If cosec39^(@)=x, then the value of (1...

If `cosec39^(@)=x`, then the value of
`(1)/(cosec^(2)51^(@))+sin^(2)39^(@)+tan^(2)51^(@)-(1)/(sin^(2)51^(@)sec^(2)39^(@))` is.

A

`sqrt(x^(2)-1)`

B

`sqrt(1-x^(2))`

C

`x^(2)-1`

D

`1-x^(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

The numerical value of 1+(1)/(cot^(2)63^(@))-sec^(2)27^(@)+(1)/(sin^(2)63^(@))-"cosec"^(2)27^(@) is

The value of sin39^(@)-cos51^(@) will be:

What is the value of (3)/(2)((cos39)/(sin51))-sqrt(sin^(2)39+sin^(2)51) ?

What is the value of (3)/(2)((cos 39)/(sin 51))-sqrt(sin^(2)39+sin^(2)51) ?

cos51^(@)-sin39^(@)+sin37^(@)-cos53^(@)=?

(4sin9^(@)sin21^(@)sin39^(@)sin51^(@)sin69^(@)sin81^(@))/(sin54^(@))

(4sin9^(@)sin21^(@)sin39^(@)sin51^(@)sin69^(@)sin81^(@))/(sin54^(@))

(4sin9^(@)sin21^(@)sin39^(@)sin51^(@)sin69^(@)sin81^(@))/(sin54^(@))

sin ^ (2) (51 ^ (@) - x) + sin ^ (2) (39 ^ (@) + x)

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. The minimum value of 2 sin^2 theta + 3cos^2 theta is

    Text Solution

    |

  2. If cosec39^(@)=x, then the value of (1)/(cosec^(2)51^(@))+sin^(2)39^...

    Text Solution

    |

  3. If (cosalpha)/(cosbeta)=m and (cosalpha)/(sinbeta)=n, find (m^(2)+n^(2...

    Text Solution

    |

  4. If (tantheta+cottheta)/(tantheta-cottheta)=2,(0^(@)lethetale90^(@)), t...

    Text Solution

    |

  5. If cos x + cos y =2, then the value of sinx + sin y is

    Text Solution

    |

  6. The value of tan1^@ tan 2^@ tan 3^@ ... tan 89^@ is

    Text Solution

    |

  7. The measure of the angles of a triangle are in the ratio 2 : 7 : 1...

    Text Solution

    |

  8. The value of tan 315^(@)cot(-405^(@)) is equal to

    Text Solution

    |

  9. If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are p...

    Text Solution

    |

  10. If tantheta+cottheta=2, then the value of tan^(n)theta+cot^(n)theta (0...

    Text Solution

    |

  11. The numerical value of cot 18^(@) (cot 72^(@) cos^(2) 22^(@) + (1)/...

    Text Solution

    |

  12. If tan15^(@)=2-sqrt(3) , the value of tan15^(@)cot75^(@)+tan75^(@)cot1...

    Text Solution

    |

  13. If x , y are acute angles , 0ltx+ylt90^(@)and sin(2x-20^(@))=cos(2y+...

    Text Solution

    |

  14. If angle A and angle B are complementary to each other,then the value ...

    Text Solution

    |

  15. sin^(2)5+sin^(2)6^(@)+ . . . +sin^(2)84^(@)+sin^(2)85^(@)=?

    Text Solution

    |

  16. The value of (sin 39^(@))/(cos 51^(@)) + 2 tan 11^(@) tan 31^(@) tan 4...

    Text Solution

    |

  17. If (cos^(2)theta)/(cot^(2)theta-cos^(2)theta)=3and0^(@)ltthetalt90^(@)...

    Text Solution

    |

  18. If A = tan11^(@)tan29^(@),B=2cot61^(@)cot79^(@) , then:

    Text Solution

    |

  19. If 0^(@)ltthetalt90^(@) , the value of sintheta+costheta is

    Text Solution

    |

  20. The expression (tan 57^@ + cot37^@)/(tan 33^@ + cot 53^@) is equal to

    Text Solution

    |