Home
Class 10
MATHS
If alpha + beta = 90^@ and cot alpha = 4...

If `alpha + beta = 90^@` and `cot alpha = 4/3` then `cot beta` =

A

4/5

B

4/3

C

5/4

D

3/4.

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 sin 2 alpha + sin 2 beta = 3 "and" cos 2 alpha + cos 2 beta = 4,"then"- cos2 (alpha + beta)=

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

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

Let alpha, beta be such that pi lt alpha lt beta lt 3pi, if sin alpha + sin beta =- (21)/(65) and cos alpha + cos beta =(27)/(65), then the value of cos ""(alpha - beta)/(2) is-

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

If alpha ne beta " and " a tan alpha + b tan beta = (a + b) "tan" (alpha + beta)/2,"show that" (cos alpha)/(cos beta) = a/b.

If alpha+beta = 90^@ , prove that sec^2 alpha+sec^2 beta = sec^2 alpha sec^2 beta .

Simplify: cot (beta - gamma) cot (gamma - alpha) + cot (gamma - alpha) cot (alpha - beta) + cot (alpha - beta) cot (beta - gamma)

If a sin alpha = b sin beta " then show that ", b cot alpha + a cot beta = (a+b) "cot"(alpha+beta)/2

UNITED BOOK HOUSE-Trigonometric Ratios of Complementry Angle-Exercise
  1. If alpha and beta are complementery angles, then the value of sec^2 al...

    Text Solution

    |

  2. Value of [cos(40^@ + theta) - sin (50^@ - theta)] is

    Text Solution

    |

  3. If alpha + beta = 90^@ and cot alpha = 4/3 then cot beta =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. (2 tan 30^@)/(1 - tan^2 30^@) is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |