Home
Class 12
MATHS
The solution set of equation sin^(-1) sq...

The solution set of equation `sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(-1) (sqrt(1 - x^2)/x) - sin^(-1) x`, is

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The solution set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=(cot^(-1)(sqrt(1-x^(2))))/(x)-sin^(-1)x is (a) [-1,1]-{0}(b)(0,1)uu{-1}(c)(-1,0)uu{1} (d) [-1,1]

sin^(-1)x=cos^(-1)sqrt(1-x^(2))

The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x + 1) + cos^(-1) sqrt(x^(2) + x) = (3pi)/(2) is

Prove that sin^(-1)x=cos^(-1) sqrt(1-x^2)

The number of solutions for the equation 2 sin^(-1)(sqrt(x^(2) - x + 1)) + cos^(-1)(sqrt(x^(2) - x) )= (3pi)/(2) is

The solution set of the equation cos^(-1)x-sin^(-1)x=sin^(-1)(1-x) is

The number of solutions for the equation sin^(-1) sqrt((x^(2)-x+1))+cos^(-1)sqrt((x^(2)-x))=pi is :

The sum of solutions of the equation 2 sin^(-1) sqrt(x^(2)+x+1)+cos^(-1) sqrt(x^(2)+x)=(3pi)/(2) is :

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of [tan{pi/4+1/2sin^(-1)(a/b)}]^(-1)

    Text Solution

    |

  2. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  3. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

    Text Solution

    |

  4. The solution set of the equation sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-...

    Text Solution

    |

  5. if 0 lt x lt 1 then tan^(-1)= sqrt(1-x^2)/(1+x^2) is equal to (i) 1/...

    Text Solution

    |

  6. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  7. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

    Text Solution

    |

  8. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

    Text Solution

    |

  9. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

    Text Solution

    |

  10. Consider two geometric progressions a1,a2,a3,......a0 & b1, b2, b3,......

    Text Solution

    |

  11. The sum of the infinite terms of the series cot^(-1)(1^2+3/4)+cot^(-1)...

    Text Solution

    |

  12. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen

    Text Solution

    |

  13. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

    Text Solution

    |

  14. Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5).

    Text Solution

    |

  15. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

    Text Solution

    |

  16. sin^(-1)(sin(33pi)/7)\

    Text Solution

    |

  17. cos^(-1)(cos(46pi)/7)

    Text Solution

    |

  18. tan^(-1)(tan((-33pi)/7))

    Text Solution

    |

  19. cot^(-1)(cot((-46 pi)/7))

    Text Solution

    |

  20. Find value of Sin ( tan^(-1) x)

    Text Solution

    |