Home
Class 10
MATHS
If angleA+angleB = 90^@, show that 1+(ta...

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

Promotional Banner

Topper's Solved these Questions

  • Application of Trigonnometric Ratios : Heights of Distance

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • BEGUNKODAR HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

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

sec^2A -tan^2A=

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

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

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

Show that (1- tan ^(2) A ) /( cot ^(2) A-1) =tan ^(2) A

If A,B,C are the angles of a triangle, show that, (iv) (tan(B + C) + tan (C + A) + tan (A + B))/(tan (pi - A) + tan(2pi - B) + tan (3pi - C)) = 1

In an acute angled triangle ABC, show that tan^2A+tan^2B+tan^2Cge9

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____

UNITED BOOK HOUSE-BARANAGAR RAMAKRISHAN MISSION HIGH SCHOOL-EXERCISE
  1. y is sum of two variables, one in which varies directly with x and ano...

    Text Solution

    |

  2. 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

    |

  3. If b/(a+b)= (a+c-b)/(b+c-a)=(a+b+c)/(2a+b+2c) where a+b-c !=0, show th...

    Text Solution

    |

  4. Answer any one question : Prove that angles in the same segment of a c...

    Text Solution

    |

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

    Text Solution

    |

  6. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

    Text Solution

    |

  7. In a isosceles triangle ABC , angleB is right angle. Bisector of angle...

    Text Solution

    |

  8. Draw a triangle ABC whose BC = 5cm, BA = 5.5 cm and angleABC = 70^@ dr...

    Text Solution

    |

  9. Geometrically find the value of sqrt(24).

    Text Solution

    |

  10. Difference between two acute angles of the right angled triangled is (...

    Text Solution

    |

  11. In triangleXYZ, angleY = 90^@. If XY = 2sqrt3 unit and XZ-YZ = 2 unit...

    Text Solution

    |

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

    Text Solution

    |

  13. The heigths of two towers are 180 metres and 60 metres respectively. I...

    Text Solution

    |

  14. The length of shadow of a tower standing on the ground is found to be...

    Text Solution

    |

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

    Text Solution

    |

  16. Two parallel planes which are parallel to the base of a right circular...

    Text Solution

    |

  17. The length of radius of a right circular cylinder is increased by 50%....

    Text Solution

    |

  18. If the mean age of 50 men is 41.1 years then find the values of x and ...

    Text Solution

    |

  19. Find the mode of the following data.

    Text Solution

    |

  20. Make a cumulative freqency distribution table from the given data and...

    Text Solution

    |