Home
Class 12
MATHS
2 tan ^(-1) ""(2x)/(1-x^(2))=(pi)/(3)...

`2 tan ^(-1) ""(2x)/(1-x^(2))=(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
`2-sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Short answer type questions|45 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Long answer type questions|28 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 4|17 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

3 sin ^(-1 ) ""(2x )/(1+x^(2))-4cos^(-1) ""(1-x^(2))/(1+x^(2))+2tan ^(-1)""(2x )/(1-x^(2))=(pi)/(3)

tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)

Let tan ^(-1) y= tan ^(-1) x+ tan ^(-1) ""((2x)/(1-x^(2))) where |x| lt (1)/(sqrt(3)) . Then a value of y is -

If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(1-x^2))=pi/3, w h e r e|x|<1, then x is equal to 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) sqrt(3) (d) -(sqrt(3))/4

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

show that 2 tan ^(-1) ((1+x)/(1-x)) - cos ^(-1)( (1-x^(2))/(1+x^(2)))=(pi)/(2)

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

show that tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/sqrt3

Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1/(sqrt(3))

If sin^(-1) (x^(2) + 2x + 2) + tan^(-1) (x^(2) - 3x - k^(2)) gt (pi)/(2) , then find the value of k

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-Very short answer type Questions
  1. Express each of the following in terms of other inverse circular ...

    Text Solution

    |

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

    Text Solution

    |

  3. cos ^(-1)"" (1)/(sqrt(5))+ cos ^(-1) ""(2)/(sqrt(5))=(pi)/(2)

    Text Solution

    |

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

    Text Solution

    |

  5. 2 tan ^(-1) ""(1)/(5)+tan^(-1)"" (1)/(8)= tan ^(-1) ""(4)/(7)

    Text Solution

    |

  6. sin ^(-1) ""(3)/(5) + sin ^(-1)""(8)/(17) = sin ^(-1)""(77)/(85)

    Text Solution

    |

  7. cos^(-1) ""(15)/(17) + cos ^(-1)""(3)/(5)= cos ^(-1) ""(13)/(85)

    Text Solution

    |

  8. tan ^(-1)"" a+ cot ^(-1)""b=cot ^(-1) ""(b-a)/(1+ab)

    Text Solution

    |

  9. 4(cot ^(-1)3+"cosec"^(-1) sqrt(5))=pi

    Text Solution

    |

  10. sin ^(-1) "" (1)/(sqrt(5))+cot ^(-1) 3= (pi)/(4)

    Text Solution

    |

  11. tan ^(-1) ""sqrt(x) =(1)/(2) cos^(-1) ""(1-x)/(1+x) , 0 le x le 1

    Text Solution

    |

  12. sec^(2) ( tan ^(-1)3) + "coses"^(2) (cot ^(-1) 4) = 27

    Text Solution

    |

  13. sec^(2) ( cot ^(-1) 2) + "cosec"^(2) (tan ^(-1)3)=2""(13)/(36)

    Text Solution

    |

  14. if two angles of a triangle are tan ^(-1)""(1)/(2) and tan^(-1...

    Text Solution

    |

  15. If two angles of a triangle are tan ^(-1) 2 and tan^(-1) 3, wha...

    Text Solution

    |

  16. 2 sin ^(-1 ) x= cos ^(-1) x

    Text Solution

    |

  17. tan ^(-1) ""(1)/(x)+tan ^(-1) ""2=(pi)/(2)

    Text Solution

    |

  18. 2 tan ^(-1) ""(2x)/(1-x^(2))=(pi)/(3)

    Text Solution

    |

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

    Text Solution

    |

  20. tan ^(-1)""(1-x)/(1+x)-(1)/(2) tan ^(-1 )""x=0 where x gt 0

    Text Solution

    |