Home
Class 10
MATHS
If A+B = 90^@ , show that tan A + tan B ...

If `A+B = 90^@` , show that tan A + tan B = `(cosec^2B)/sqrt(cosec^2B-1)`

Promotional Banner

Topper's Solved these Questions

  • GHORANASH HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • HINDU SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

If A+B=90^(@) then prove that tanA+tanB=(cosec^(2)A)/(sqrt(cosec^(2)A-1)) .

If angleA+angleB = 90^@ , show that 1+(tan A)/(tan B) = sec^2B tan^2A .

If angleA+angleB = 90^@ , show that 1+ (tan A)/(tan B) = sec^2A .

If /_A + /_B = 90^@ then prove that 1+(tan A)/(tan B) = "cosec"^2 B

It A + B = 90^@ , then (tan A tan B + tan A cot B)/(sin A sec B) - (sin^2 B)/(cos^2 A) is equal to____

If A + B = 45^(@), "show that",(1 + tan A) (1 + tan B) = 2 , "hence find the value of " tan (22 1/2)^(@)

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

If sec A - "cosec" A= "cosec" B - secB, "show that" tanA tan B = "tan"(A+B)/2

tan^(2)x = 3"cosec"^(2)x-1

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

UNITED BOOK HOUSE-HATI HIGH SCHOOL-EXERCISE
  1. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, find the value of (x^2+3...

    Text Solution

    |

  2. If a^2/(b+c)=b^2/(a+c)=c^2/(a+b)=1, then show that 1/(1+a)+1/(1+b)+1/(...

    Text Solution

    |

  3. If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)

    Text Solution

    |

  4. State and prove Pythagoras theorem.

    Text Solution

    |

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

    Text Solution

    |

  6. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

    Text Solution

    |

  7. AD is a median of triangleABC. A straight line parallel to BC intersec...

    Text Solution

    |

  8. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

    Text Solution

    |

  9. Draw a rectangle having sides 10 cm and 5 cm. Now draw a square whose ...

    Text Solution

    |

  10. One of the acute angle of a right angled triangle is 30^@. Find the o...

    Text Solution

    |

  11. If tan theta = 3/4 show that sqrt((1-sin theta)/(1+sin theta)) = 1/2.

    Text Solution

    |

  12. If A+B = 90^@ , show that tan A + tan B = (cosec^2B)/sqrt(cosec^2B-1)

    Text Solution

    |

  13. A house of 15 metres hegiht, stands on one side of a park and from a ...

    Text Solution

    |

  14. From roof of a multi storeyed building a man saw a running bus came st...

    Text Solution

    |

  15. Determine the volume of a solid right circular cone which can be made ...

    Text Solution

    |

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

    Text Solution

    |

  17. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

    Text Solution

    |

  18. Find the median of the following distribution table:

    Text Solution

    |

  19. Find the mean of the following distribution table:

    Text Solution

    |

  20. Find the mode of the following data.

    Text Solution

    |