Home
Class 10
MATHS
If cosec 39^@ = x, the value of (1)/(cos...

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

A

` sqrt fracx^2 - 1`

B

`sqrt frac1 - x^2`

C

`x^2 - 1`

D

`1 - x^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Trigonometric Rations and Trigonometric Identities

    UNITED BOOK HOUSE|Exercise Exercise |31 Videos

  • Trigonometry : Concept of Measurement of Angle

    UNITED BOOK HOUSE|Exercise Exercise |24 Videos

Similar Questions

Explore conceptually related problems

Find the value of 1/(1+sin^2 20^@)+1/(1+cosec^2 20^@) .

Find the range of f(x)=cosec^2x+sin^2x .

Find the value of sin^(2)45^(@)-"cosec"^(2)60^(@)+sec^(2)30^(@) .

Solve: x tan 60^@cos^2 30^@ = (tan^2 45^@ sec 60^@)/(cosec 60^@)

The value of tan^2 (sec^-1 2)+ cot^2(cosec^-1 3) is

If" " tan x=b/a, "find the value of " a^(2) "cosec2x + b^(2) sec 2x.

Show that cosec^2(25^@)cot^2(65^@)=sin^2(25^@)+sin^2(65^@)+cot^2(65^@) .

If 0^@ < A < 90^@ , then the value of tan^2 A + cot^2 A - sec^2 A cosec^2 A is____

If x=sin^2alpha+cosec^2alpha ,then the value of x is

If "cosec"^(-1)x=sec^(-1)y , then the value of ("sin"^(-1)(1)/(x)+"sin"^(-1)(1)/(y)) is -

UNITED BOOK HOUSE-Trigonometric Ratios of Complementry Angle-Exercise
  1. Sin 2A = 2sin A is true when A =

    Text Solution

    |

  2. It A + B = 90^@, then (tan A tan B + tan A cot B)/(sin A sec B) - (sin...

    Text Solution

    |

  3. If tan A = cot B, then prove that A + B = 90°.

    Text Solution

    |

  4. (sin^2 22^@ + sin^2 68^@ + cot^2 68^@) equals

    Text Solution

    |

  5. (2 tan 30^@)/(1 - tan^2 30^@) is equal to

    Text Solution

    |

  6. If theta and (2theta - 45^@) are acute angles such that cosec theta co...

    Text Solution

    |

  7. A, B and C are interior angles of a triangle ABC, then sin ((B + C)/(2...

    Text Solution

    |

  8. The value of tan 10^@ tan 15^@ 75^@ tan 80^@ is

    Text Solution

    |

  9. If 5theta and 4theta are acute angles satisfying sin 5theta = cos 4the...

    Text Solution

    |

  10. [sin^2 1^@ + sin^2 2^@ +sin^2 3^@ + ……………….. + sin^2 87^@ + sin^2 88^@...

    Text Solution

    |

  11. (sin^2 1^@ + sin^2 3^@ + sin^2 5^@ + ………………… + sin^2 85^@ + sin^2 87^@...

    Text Solution

    |

  12. The value of (cos(90^@ - theta)sec(90^@ - theta) tan theta)/(cosec(90^...

    Text Solution

    |

  13. The value of (tan 47^@ + cot 27^@)/(tan 43^@ + cot 63^@) is

    Text Solution

    |

  14. (1 + sec 20^@ + cot 70^@) (1 - cosec 20^@ + tan 70^@) equals

    Text Solution

    |

  15. alpha, beta are positive acute angle and sec^2 alpha - cot^2 (beta/2) ...

    Text Solution

    |

  16. ABCD is a cyclic quadrilateral and tan (A/2) tan (C/2) + tan (B/2) tan...

    Text Solution

    |

  17. If cos (67^@30') = x and cosec (22^@30') = y then which is true?

    Text Solution

    |

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

    Text Solution

    |

  19. sin^2 5^@+sin^2 10^@ + sin^2 15^@+.........+sin^2 85^@+sin^2 90^@ equa...

    Text Solution

    |

  20. If A, B and C are three angles of a triangle, then the incorrect relat...

    Text Solution

    |