Home
Class 12
MATHS
Evaluate tan^-1 2+ tan^-1 3 ....

Evaluate `tan^-1 2+ tan^-1 3` .

Text Solution

Verified by Experts

The correct Answer is:
`3π/4`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 8

    MODERN PUBLICATION|Exercise EXERCISE|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Write whether "tan"^(-1) 2 +"tan"^(-1) 3 = - pi/4 statements are true or false.

Evaluate int (x^2 tan^-1 x^3)/(1+x^6) dx

Show that 2 tan^-1(1/4) + 2 tan^-1 (2/9) = tan^-1(4/3) .

Evaluate: int x^2 tan^(-1)xdx.

Prove that 2 tan^-1(1/2) + tan^-1 (1/7) = tan^-1 (31/17) .

Evaluate : intx^(2)tan^(-1)xdx .

Evaluate int_-1^3[tan^(-1) (x/(x^2 + 1)) + tan^(-1) ((x^2 +1 )/x)]dx .

MODERN PUBLICATION-TEST PAPER 9-EXERCISE
  1. Is the operation * on {0,1,2,3,4,5,6} defined as a*b=a+b(mod 7) a bina...

    Text Solution

    |

  2. Evaluate tan^-1 2+ tan^-1 3 .

    Text Solution

    |

  3. Solve the following : [[0,x-a,x-b],[x+a,0,x-c],[x+b,x+c,0]]=0

    Text Solution

    |

  4. If A = ((1,0,2),(5,1,x),(1,1,1)) is a singular matrix the, what is the...

    Text Solution

    |

  5. Write the derivative of y=sec^-1 (e^x + 1).

    Text Solution

    |

  6. Write the set of points, where the function f(x) = x^(3) has relative ...

    Text Solution

    |

  7. Write the value of int(0)^(π) sin^8x dx

    Text Solution

    |

  8. Write the order and degree of e^(dy/dx) =x^2.

    Text Solution

    |

  9. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  10. Find the vector equation of the line joining (2,1,3) and (4,-2,5).

    Text Solution

    |

  11. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  12. Let A=N xx N and let* be a binary operation on A defined by (a, b) * (...

    Text Solution

    |

  13. A factory uses three different respurce for the manufacture of two dif...

    Text Solution

    |

  14. Let A={1,2,3,...,9) and R be the relation on A xx A defined by (a, b) ...

    Text Solution

    |

  15. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

    Text Solution

    |

  16. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

    Text Solution

    |

  17. If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).

    Text Solution

    |

  18. Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0

    Text Solution

    |

  19. Find "a" and "b" such that the function f(x)={3ax+b, if x>1 11 if x=1 ...

    Text Solution

    |

  20. If y= tan^-1 x then prove that (1+x^2) y(2) + 2xy(1) =0. Differentiate...

    Text Solution

    |