Home
Class 12
MATHS
If 0 le A le (pi)/(4), then tan^(-1) ((1...

If `0 le A le (pi)/(4)`, then `tan^(-1) ((1)/(2) tan 2A) + tan^(-1) (cot A) + tan^(-1) (cot^(3)A)` is equal to

A

`(pi)/(4)`

B

`pi`

C

0

D

`(pi)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A) is equal to

Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A) =0

tan cot^(-1)(-(7)/(2))

sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3) is equal to

tan ^(-1) cot 320^(@)

2 tan ^(-1) ""(1)/(2) = tan^(-1) ""(4) /(3)

tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) is equal to

tan ^(-1) "" (1)/(2) + tan ^(-1) "" (2)/(11) = tan ^(-1)""(3)/(4)

tan ^(-1)((1)/(2) sec x) + cot^(-1)(2cos x) =(pi)/(3)

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. A student appears for test I, II and III. The student is successful if...

    Text Solution

    |

  2. If sin 6 theta + sin 4theta + sin 2theta= 0, then general value of the...

    Text Solution

    |

  3. If 0 le A le (pi)/(4), then tan^(-1) ((1)/(2) tan 2A) + tan^(-1) (cot ...

    Text Solution

    |

  4. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  5. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  6. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  7. The angular points of a triangle are A(-1, -7), B(5, 1) and C(1, 4). T...

    Text Solution

    |

  8. If one of the diameters f the circle, given by the equation x^(2)+y^(2...

    Text Solution

    |

  9. A chord AB is drawn from the point A(0, 3) on the circle x^(2)+4x+(y-3...

    Text Solution

    |

  10. Let the occentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

    Text Solution

    |

  11. Let A. B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  12. Let P(a t^(2), 2 a t), Q, R (a r^(2).2 ar) be three points on a parabo...

    Text Solution

    |

  13. Let P be a point on the ellipse (x^(2))/(9) + (y^(2))/(4)=1 and the li...

    Text Solution

    |

  14. A point P lies on a line through Q(1, -2, 3) and is parallel to the li...

    Text Solution

    |

  15. The foot of the perpendicular drawn from the point (1, 8,4) on the lin...

    Text Solution

    |

  16. The approximate value of sin 31^(@) is

    Text Solution

    |

  17. Let f(1)(x)= e^(x), f(2)(x)= e^(f(1)(x)),……f(n+1)(x)= e^(f(n)(x)) for ...

    Text Solution

    |

  18. The domain of definition of f(x)= sqrt((1-|x|)/(2-|x|)) is Here (a, ...

    Text Solution

    |

  19. Let f : [a, b] rarr R be differentiable on [a, b] & k in R. Let f(a)= ...

    Text Solution

    |

  20. Let f(x)= 3x^(10)- 7x^(8) + 5x^(6)- 21x^(3) + 3x^(2)-7. Then underset(...

    Text Solution

    |