Home
Class 10
MATHS
If alpha+beta = 90^@, prove that sec^2 a...

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

Promotional Banner

Topper's Solved these Questions

  • HATI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • HOOGHLY COLLIGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

If alpha+beta=90^(@) then prove that cosec^(2)alpha+cosec^(2)beta=cosec^(2)alphacosec^(2)beta .

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

If 0 lt alpha lt beta lt (pi)/(2) , prove that, tan alpha-tan beta lt alpha-beta .

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

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

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

For all values of alpha,beta,gamma prove that: cos alpha + cos beta+ cos gamma+ cos(alpha+beta+gamma) ="4cos"(alpha+beta)/2cdot"cos" (beta+gamma)/2cdot"cos"(gamma+alpha)/2

If cos^2alpha-sin^2alpha=tan^2beta," then prove that "tan^2alpha=cos^2beta-sin^2beta .

alpha, beta are positive acute angle and sec^2 alpha - cot^2 (beta/2) = 1 , then___

Prove the following identities: sec(alpha + beta) = (sec alpha sec beta)/(1 - tan alpha tan beta)

UNITED BOOK HOUSE-HINDU SCHOOL -EXERCISE
  1. If a alpha b and b alpha c then show that a^3b^3+b^3c^3+c^3a^3 alpha a...

    Text Solution

    |

  2. What should be added to each of a,b,c,d to make the sums proportional?

    Text Solution

    |

  3. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

    Text Solution

    |

  4. Answer any One queation : Prove that, if a perpendicular is draw on t...

    Text Solution

    |

  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  6. The radius of a circle is 8 cm. Calculate the length of a tangent draw...

    Text Solution

    |

  7. Two tangents AB and AC drawn from an external point A of a circle touc...

    Text Solution

    |

  8. Draw a triangle whose two side are 7.6 cm and 6 cm in length and the a...

    Text Solution

    |

  9. Geometrically find the value of sqrt(29).

    Text Solution

    |

  10. Find the values of (2 tan^2 30^@)/(1-tan^2 30^@)+sec^2 45^@-cot^2 45^@...

    Text Solution

    |

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

    Text Solution

    |

  12. If sec theta+tan theta = x, prove that sin theta= (x^2-1)/(x^2+1)

    Text Solution

    |

  13. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

    Text Solution

    |

  14. Two towers are situated at a distance of 120sqrt2 metre and the height...

    Text Solution

    |

  15. The length of the radius of cross section of a solid right circular ro...

    Text Solution

    |

  16. Length of radius and height of a right circular draw are 21 cm and 21 ...

    Text Solution

    |

  17. The length of two sides adjacent to right angle of a right angled tria...

    Text Solution

    |

  18. Calculate the mean of obtained marks of 64 students from the given dat...

    Text Solution

    |

  19. Find the median of the following data.

    Text Solution

    |

  20. Calculate the mode of the following data.

    Text Solution

    |