Home
Class 10
MATHS
If alpha and beta are complementary angl...

If `alpha` and `beta` are complementary angles, then show that `cot beta+cos beta= (cos beta)/(cos alpha) (1+sin beta)`.

Promotional Banner

Topper's Solved these Questions

  • SUJAPUR HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • Theorem related to Angle in a Circle

    UNITED BOOK HOUSE|Exercise Exercise |24 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are complementary angles to each other, the find the value of (1-sin^2 alpha)(1-cos^2 alpha)(1+cot^2 beta)(1+tan^2 beta)

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

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

If sin alpha=(12)/(13), cos beta =4/5 and alpha, beta are two acute angles, then Value of sin alpha cos beta +cos alpha sin beta is

If x cos alpha + y sin alpha = x cos beta + y sin beta "then" (sin alpha - cos alpha - sin beta + cos beta)/(sin alpha + cos alpha - sin beta - cos beta)=

If" "alpha " and " beta are positive acute angles and cos 2 alpha = (3 cos 2 beta-1)/(3-cos 2 beta),"show that", tan alpha = sqrt2 tan beta

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

If alpha,beta,gamma "are in A.P. show that" cot beta = (sin alpha - sin gamma)/(cos gamma -cos alpha)

If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamma)/(cos gamma-cos alpha)

If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - beta) = (sin 2 beta)/(2n + 1 - cos2 beta).

UNITED BOOK HOUSE-TAMLUK HAMILTON HIGH SCHOOL-EXERCISE
  1. Solve: a/(ax-1)+b/(bx-1)=a+b (x!=1/a,1/b).

    Text Solution

    |

  2. If 2x = sqrta+1/sqrta. Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

    Text Solution

    |

  3. x varies directly with y and inversely with z. When y =5, z= 9 then x=...

    Text Solution

    |

  4. If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+...

    Text Solution

    |

  5. State and prove the convere of the Pythagoras theorem.

    Text Solution

    |

  6. Prove that the tangent to the circle at any point on it is perpendicul...

    Text Solution

    |

  7. Two chords AB and CD of a cricle with centre O intersect at P. Prove t...

    Text Solution

    |

  8. Geometrically find the value of sqrt(21),

    Text Solution

    |

  9. Draw a triangle whose two sides are 9 cm and 7 cm in length and the an...

    Text Solution

    |

  10. For which value of theta(0^@lethetale90^@) sin^2 theta-3sin theta+2=0 ...

    Text Solution

    |

  11. If alpha and beta are complementary angles, then show that cot beta+co...

    Text Solution

    |

  12. If 0^@<(alpha)<90^@, then find the minimum value of 4cosec^2 (alpha)+...

    Text Solution

    |

  13. A palm tree stands on the bank of a river. A post is fixed I the earth...

    Text Solution

    |

  14. Two pillars of equal heights are on the either side of a road, which i...

    Text Solution

    |

  15. The length of outer and inner diameter of a hallow right circular cyli...

    Text Solution

    |

  16. On the curved surface of the axis of a globe with the length of 14cm r...

    Text Solution

    |

  17. The external radius of a hollow sphere made of lead sheet of 1 cm thic...

    Text Solution

    |

  18. Draw an ogive (less than type) from the following frequency distributi...

    Text Solution

    |

  19. If the median of the given data is 32, then find the value of x and y ...

    Text Solution

    |

  20. Find the mean of the following frequency distribution table.

    Text Solution

    |