Home
Class 12
MATHS
If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin...

If `A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)]` and `B=1/pi[-cot^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)-tan^(-1)(pix)]` , then `A-B` is equal to `I` (b) 0 (c) `2I` (d) `1/2I`

A

`I`

B

0

C

`2I`

D

`(1)/(2)I`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If A=1/pi[[sin^(-1)(pix),tan^(-1)(x/pi)], [sin^(-1)(x/pi),cot^(-1)(pix)]] and B=1/pi[[-cos^(-1)(pix),tan^(-1)(x/pi)],[sin^(-1)(x/pi),-tan^(-1)(pix)]] , then A-B is equal to I (b) 0 (c) 2I (d) 1/2I

sin^(-1)x+tan^(-1)x=(pi)/(2)

If A=(1)/(pi)[[sin^(-1)(x pi),tan^(-1)((x)/(pi))sin^(-1)((x)/(pi)),cot^(-1)(x pi)]] and B=(1)/(pi)[[-cos^(-1)((x)/(pi)),cot^(-1)(x pi)]] and sin^(-1)(x pi),-tan^(-1)((x)/(pi))] find the value of A-B in terms of identity matrix

tan^(-1)((a)/(x))+tan^(-1)((b)/(x))=(pi)/(2) then x=

If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

If 3tan^(-1)x +cot^(-1)x=pi , then x equals to

If sin^(-1)x+tan^(-1)((1)/(2))=(pi)/(2) then x=

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. tan(cos^-1 x) is equal to

    Text Solution

    |

  2. cos(tan^(-1)(3/4)) =

    Text Solution

    |

  3. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

    Text Solution

    |

  4. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

    Text Solution

    |

  5. The value of 2(cot^- 1)1/2-(cot^- 1)4/3 is

    Text Solution

    |

  6. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A)

    Text Solution

    |

  7. cos^(-1)(15/17)+2 tan^(-1)(1/5)=

    Text Solution

    |

  8. सिद्ध कीजिए कि tan[cos^(-1)""((4)/(5))+tan^(-1)""((2)/(3))]=(17)/(6)

    Text Solution

    |

  9. If cot(cos^(-1)x)=sec{tan^(-1)(a)/sqrt(b^(2)-a^(-2))} then x equals

    Text Solution

    |

  10. Value of tan^(- 1){sin(cos^(- 1)sqrt(2/3))} is

    Text Solution

    |

  11. The number of solutions of the equation 2cos(e^x) =5^x +5^(-x), are

    Text Solution

    |

  12. The value of theta lying between theta=0 and theta=pi/2 and satisfyin...

    Text Solution

    |

  13. If ((x+1)^(2))/(x^(3)+x)=(A)/(x)+(Bx+C)/(x^(2)+1), then cosec^(-1)((...

    Text Solution

    |

  14. The number of points of intersection of 2y=1andy=sinx,"in "-2pilexle2p...

    Text Solution

    |

  15. If in a triangle ABC, a=5, b=4 and A=pi/2 +B, then the value of tan ""...

    Text Solution

    |

  16. If x=sin^(-1)K,y=cos^(-1)K,-1leKle1, then the correct relationship is

    Text Solution

    |

  17. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

    Text Solution

    |

  18. If (1)/(6)sintheta,costhetaandtantheta are in geometric progression, t...

    Text Solution

    |

  19. In triangleABC, If A= 30^(@), b=8, a=6 where B = sin^(-1)x, then: x=

    Text Solution

    |

  20. The value of cot[underset(n=1)overset(100)Sigmacot^(-1)(1+underset(k=1...

    Text Solution

    |