Home
Class 10
MATHS
If /A + /B = 90^@ then prove that 1+(tan...

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

Promotional Banner

Topper's Solved these Questions

  • RIGHT CIRCULAR CYLINDER

    CALCUTTA BOOK HOUSE|Exercise Exercise - 2 (Long-answer type questions)|11 Videos

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

Prove that 1-tan(A/2)tan(B/2)=(2c)/(a+b+c) .

if A+B=45^@ find the value of (1+tan A)(1+ tan 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____

In /_\ABC , if angleC = 90^@ ,. then find the value of tan A + tan B.

CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. The tens' digit of a two digit number is less by 3 than the unit digit...

    Text Solution

    |

  2. The price of a diamond is ₹ 2000. The diamond is broken into two pies...

    Text Solution

    |

  3. If x=3+2sqrt2, then find the value of (sqrtx -""1/sqrtx)

    Text Solution

    |

  4. If a+1/b = 1 and b+1/c=1 then prove that c+1/a =1

    Text Solution

    |

  5. If a, b, c be in continued proportional, then prove that a^2 b^2 c^2 (...

    Text Solution

    |

  6. Prove that angles in the same segment of a circle are equal.

    Text Solution

    |

  7. Prove that if two tangents are drawn to a circle from a point outside ...

    Text Solution

    |

  8. ABCD is a parallelogram. A circle passing through C and D intersects A...

    Text Solution

    |

  9. Construct a circle of radius 2*6cm. Take a point outside of this circl...

    Text Solution

    |

  10. The length of radius of a circle is 21 cm. Determine the cfircular and...

    Text Solution

    |

  11. Find the value : (tan^2 60^@+tan30^@)/(1+tan^2 60^@+tan30^@)+cos 60^@ ...

    Text Solution

    |

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

    Text Solution

    |

  13. If the angle of elevation of the top of a chimney from a point on the ...

    Text Solution

    |

  14. If the angle of depression of two consecutive kilometer stones on a ro...

    Text Solution

    |

  15. How many solid sphere of radius 10*5 cm each can be mad by melting a s...

    Text Solution

    |

  16. To prepare a tent of shaped a right circular cone, it needs 77 sq-metr...

    Text Solution

    |

  17. The external diameter of a gold - sphere is 12 cm and it is made of a ...

    Text Solution

    |

  18. If x1 and x2be any two positive variables and if the arithmetic mean ...

    Text Solution

    |

  19. prove thatsqrt108 -sqrt75=sqrt3

    Text Solution

    |

  20. Find the addition of (2+sqrt3) and (2-sqrt3)

    Text Solution

    |