Home
Class 10
MATHS
If tan 2alpha = cot 2beta, then sec(alph...

If `tan 2alpha = cot 2beta`, then `sec(alpha + beta)` =

A

0

B

`sqrt3`

C

`sqrt2`

D

1

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

If tan (alpha - beta) = 1, "sec" (alpha + beta) = 2/(sqrt3) , find positive magnitude of alpha and beta .

If sin 2 alpha + sin 2 beta = 3 "and" cos 2 alpha + cos 2 beta = 4,"then"- tan2 (alpha + beta)=

If" " 2 tan alpha = 3 tan beta, " show that",tan ( alpha - beta) = (sin 2 beta)/(5- cos 2 beta).

If cos alpha = k cos beta Show that tan ((alpha+beta)/2)=(1-k)/(1+k)cot((alpha-beta)/2)

If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alpha + beta)) =2

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)

sin alpha + sin beta = a "and" cos alpha + cos beta = b (tan alpha + tan beta)/(1-tan alpha tan beta)=

If tan alpha = 7/5, tan beta=5/7 " then find the values of " tan (alpha + beta) " and " cot (alpha - beta)

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

UNITED BOOK HOUSE-Trigonometric Ratios of Complementry Angle-Exercise
  1. If alpha + beta = 90^@ and cot alpha = 4/3 then cot beta =

    Text Solution

    |

  2. If 0^@ < theta < 20^@ and cos^2 6theta - cos 6theta = 0, then the valu...

    Text Solution

    |

  3. If tan 2alpha = cot 2beta, then sec(alpha + beta) =

    Text Solution

    |

  4. If tan 2theta . Tan 3 theta =1, then sin5theta =

    Text Solution

    |

  5. If sec(90^@ - alpha) = 4 - cosec alpha (0^@ < alpha < 90^@), then the ...

    Text Solution

    |

  6. Calculate the slope of a line, that passes through the origin, and the...

    Text Solution

    |

  7. Sin 2A = 2sin A is true when A =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. (2 tan 30^@)/(1 - tan^2 30^@) is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |