Home
Class 12
MATHS
Write the principal value of tan^-1 (-1)...

Write the principal value of `tan^-1 (-1)`

Text Solution

Verified by Experts

Let `tan^(−1)(−1)=θ`
`⇒tanθ=−1`
`⇒tanθ=-tan (pi/4)` ​
`=>tanθ=tan(− pi/4)` ...
Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Write the principal value of tan^(-1) (sqrt(3)) +"cosec"^(-1) (-2)

Write the principal value of tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3))

Write the principal value of tan^(-1)(tan((9 pi)/(8)))

Write the principal value of tan^(-1)[tan(3 pi)/(4)]

Write the principal value of: tan^-1 (tan (9π/8)) =

Write the principal value of tan^(-1)[sin(-(pi)/(2))]

Find the principal value of tan^(-1)(1)

Write the principal value of cot^(-1)((1)/(sqrt(3)))

Write the principal value of sec^(-1)(-2)

Find the principal value of: tan^(-1)(-1) and cos ec^(-1)(2)

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...

    Text Solution

    |

  2. If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]dot\

    Text Solution

    |

  3. Write the principal value of tan^-1 (-1)

    Text Solution

    |

  4. Write the values of x-y+z from the following equation: [[x+y+z], [x+z ...

    Text Solution

    |

  5. Write the order of the product matrix : [[1], [2], [3]] [[2,3,4]]

    Text Solution

    |

  6. If |[x, x],[ 1, x]|=|[3, 4],[ 1, 2]|, write the positive value of x

    Text Solution

    |

  7. Evaluate: int((1+logx)^2)/x\ dxdot

    Text Solution

    |

  8. Evaluate: int1^(sqrt(3))(dx)/(1+x^2)

    Text Solution

    |

  9. If int(a x+b^2)\ dx=f(x)+c , find f(x)

    Text Solution

    |

  10. For what value of p , is ( hat i+ hat j+ hat k)p a unit vector?

    Text Solution

    |

  11. Find | vec x| , if for a unit vector vec a ,\ ( vec x-\ vec a)dot( v...

    Text Solution

    |

  12. What is the value of the following determinant? Delta=|[4,a, b+c],[4...

    Text Solution

    |

  13. What is the domain of the function sin^(-1)x ?

    Text Solution

    |

  14. If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f...

    Text Solution

    |

  15. Write a square matrix of order 2, which is both symmetric and skew ...

    Text Solution

    |

  16. Find the direction cosines of the line passing through the followin...

    Text Solution

    |

  17. If A=[[1, 2],[ 4, 2]], then find the value of k if |2A|=k\ |A|

    Text Solution

    |

  18. If | vec a|=sqrt(3)\ | vec b|=2\ \ and vec a.vec b=sqrt(3,)\ find t...

    Text Solution

    |

  19. A pair of dice is thrown 4 times. If getting a doublet is considere...

    Text Solution

    |

  20. Evaluate: int0^1 1/(1+x^2)\ dx

    Text Solution

    |