Home
Class 12
MATHS
find the value of x: 3 sin^-1(2x)/(1+x^...

find the value of x: `3 sin^-1(2x)/(1+x^2) - 4 cos^-1((1-x^2)/(1+x^2)) + 2 tan^-1(2x/(1-x^2)) = pi/3`

Promotional Banner

Topper's Solved these Questions

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

Similar Questions

Explore conceptually related problems

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

Solve the following equation for x : 3sin^(-1)(2x)/(1+x^2)-4cos^(-1)(1-x^2)/(1+x^2)+2tan^(-1)(2x)/(1-x^2)=pi/3

Find dy/dx when y = sin^-1((2x)/(1+x^2)) + cos^-1 ((1-x^2)/(1+x^2)) when x in (0,1)

If y = tan^-1 ((2x)/(1-x^2)) + sec^-1((1+x^2)/(1+x^2)) , find dy/dx

Find the value of the following: tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-y^2)/(1+y^2)], |x| 0 ਅਤੇ xy<1

If y = tan^-1 (2x/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)), find dy/dx when x in (0,1)

Solve the following equations. cos^-1((1-x^2)/(1+x^2)) + tan^-1 ((2x)/(1-x^2)) = (2pi)/3, 0 le x < 1

If sin^-1 (2a/(1+a^2)) + cos^-1 ((1-a^2)/(1+a^2)) = tan^-1 ((2x)/(1-x^2)) , where a, x in (0,1) , then the value of x is

If y = tan^-1 ((2x)/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)), find dy/dx when x in (1, infty)

If y = tan^-1 ((2x)/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)) , find dy/dx when x in (-infty , -1)

MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Let a and b be constants f(x) = a sin x + bx cos x + 2x^2 If f(3) = 15...

    Text Solution

    |

  2. Number of solution of the equations: f(x-1) + f(x+1) = sin a, 0 < a , ...

    Text Solution

    |

  3. If A={1,2,3}, B={1,3,5,7,9}, the ratio of number of one-one functions ...

    Text Solution

    |

  4. The value of f(x) = x+2, then f(12)=K ,where K equals

    Text Solution

    |

  5. If a , b are two natural numbers in AP such that a + b = 12 The ...

    Text Solution

    |

  6. If a,b are positive number and product of ab= 2500.The minimum value o...

    Text Solution

    |

  7. If f(x)^2 xx f((1-x)/(1+x)) = 64 x, x ne 0,1 then f(x) is equal to

    Text Solution

    |

  8. If f(x)= 6x+9,then domain of f(x) is

    Text Solution

    |

  9. A relation R on A={1,2,3} given by R={1,2), (1, 2), (3, 3)} is not sym...

    Text Solution

    |

  10. Let ** be a binary operation on N given by a ** b= HCF (a, b), a, b, ...

    Text Solution

    |

  11. Find the value of sin^(-1)(sin""(2pi)/(3))

    Text Solution

    |

  12. Evaluate cot(tan^-1a +cot^-1a)

    Text Solution

    |

  13. Show that the relation R defined by (a, b) R(c,d)implies a+d=b+c in...

    Text Solution

    |

  14. Find fog if f(x) = |x| and g(x) = |5x-2|

    Text Solution

    |

  15. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

    Text Solution

    |

  16. Let '*' be a binary operation on Q defined by a * b = (3ab)/5. Show th...

    Text Solution

    |

  17. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

  18. find the value of x: 3 sin^-1(2x)/(1+x^2) - 4 cos^-1((1-x^2)/(1+x^2))...

    Text Solution

    |

  19. Prove the following: cos[tan^-1{sin(cot^-1x)}]=sqrt((1+x^2)/(2+x^2))

    Text Solution

    |

  20. Define a binary operation * on the set {0,1,2,3,4,5} as a*b = {:{(a+...

    Text Solution

    |