Home
Class 12
MATHS
What is tan^(-1)((1)/(2))+tan^(-1)((1)/(...

What is `tan^(-1)((1)/(2))+tan^(-1)((1)/(3))` equal to ?

A

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
`tan^(-1)((1)/(2))+tan^(-1)((1)/(3))=tan^(-1)(((1)/(2)+(1)/(3))/(1-(1)/(2)xx(1)/(3)))`
`=tan^(-1)(((5)/(6))/((5)/(6)))=tan^(-1)(1)=(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY AND PROBABILIYT DISTRIBUTION

    NDA PREVIOUS YEARS|Exercise Multiple Choice Question|213 Videos

  • QUESTION PAPER 2021

    NDA PREVIOUS YEARS|Exercise MULTIPLE CHOICE QUESTIONS|120 Videos

Similar Questions

Explore conceptually related problems

What is tan^(-1)((1)/(4))+tan^(-1)((3)/(5)) equal to ?

2tan^(-1)((1)/(3))+tan^(-1)((1)/(2))=

tan(tan^(-1)((1)/(2))-tan^(-1)((1)/(3)))=

tan^(-1)((1)/(4))+tan^(-1)((2)/(9)) is equal to :

tan^(-1)2-tan^(-1)1=tan^(-1)((1)/(3))

"sin"^(-1)(4)/(5)+2"tan"^(-1)(1)/(3) is equal to

tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

tan^(-1)2-tan^(-1)1=tan^(-1)(1)/(3)

NDA PREVIOUS YEARS-PROPERTIES OF TRIANGLE, INVERSE TRIGONOMETRIC FUNCTION-MCQ
  1. If sin^(-1) ((2a)/(1+a^2))+ sin^(-1) ((2b)/(1+b^2)) = 2 tan^(-1)x then...

    Text Solution

    |

  2. If the angles of a triangle are 30^0a n d45^0 and the included side is...

    Text Solution

    |

  3. What is tan^(-1)((1)/(2))+tan^(-1)((1)/(3)) equal to ?

    Text Solution

    |

  4. If x and y are positive and xygt1, then what is tan^(-1)x+tan^(-1)y to...

    Text Solution

    |

  5. Consider the following statement : 1. There exixts no triangle ABC f...

    Text Solution

    |

  6. Consider the following statement : 1. tan^(-1)1 + tan^(-1) (0.5) = p...

    Text Solution

    |

  7. If A + B + C = pi, then what is cos(A + B) + cos C equal to ?

    Text Solution

    |

  8. What is sin^(-1)"sin"(3 pi)/(5) equal to ?

    Text Solution

    |

  9. What is "sin"^(-1)(3)/(5)- "sin"^(-1)(4)/(5) equal to ?

    Text Solution

    |

  10. In a triangle ABC, c = 2, A = 45^(@), a = 2 sqrt(2), than what is C eq...

    Text Solution

    |

  11. In a triangle ABC, sin A- cos B = Cos C, then angle B is

    Text Solution

    |

  12. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

    Text Solution

    |

  13. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

  14. Conisder x = 4 tan^(-1)((1)/(5)),y = tan^(-1)((1)/(70))and z = tan^(-1...

    Text Solution

    |

  15. Conisder x = 4 tan^(-1)((1)/(5)),y = tan^(-1)((1)/(70))and z = tan^(-1...

    Text Solution

    |

  16. Conisder x = 4 tan^(-1)((1)/(5)),y = tan^(-1)((1)/(70))and z = tan^(-1...

    Text Solution

    |

  17. The value of tan (2 "tan"^(-1)(1)/(5)-(pi)/(4)) is

    Text Solution

    |

  18. Consider the following statements : 1. sin^(-1)\ 4/5 + sin^(-1)\ 3/5...

    Text Solution

    |

  19. If a, b and c are the sides of a triangle ABC, then a^(1//p) + b^(1//p...

    Text Solution

    |

  20. Consider a triangle ABC in which cos A + cos B + cos C = sqrt(3) "sin"...

    Text Solution

    |