Home
Class 12
MATHS
If cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)...

If `cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)(xsqrt(6))),\ x!=0`, then possible value of `x` is

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If solution of cot(sin^(-1)sqrt(1-x^(2)))=sin(tan^(-1)(xsqrt(6))),x!=0 is 1/psqrt(q/r) where p,q,r are prime then value of (p+q-r)/p is

If cot(sin^(-1)(sqrt((13)/(17))))=sin(tan^(-1)x) then value of x is

If cot^(-1) ( - (1)/(sqrt(3))) =x then the value of sin x is

If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)) , then x is

If sin^(-1)(2xsqrt(1-x^(2)))-2 sin^(-1) x=0 then x belongs to the interval

cot^(-1)(sqrtcosalpha)-tan^(-1)(sqrt(cosalpha)) =x, x, ge 0 , then sin x equals

sin^-1[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)]

If y=sin ^(-1) (xsqrt( 1-x) +sqrt(x) sqrt (1-x^(2))),then (dy)/(dx)=

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

    Text Solution

    |

  2. If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

    Text Solution

    |

  3. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

    Text Solution

    |

  4. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

    Text Solution

    |

  5. If x, y, z are in A.P. and t a n^(-1)x ,""t a n^(-1)y""a n d""t a n...

    Text Solution

    |

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

    Text Solution

    |

  7. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

    Text Solution

    |

  8. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  9. If"sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

    Text Solution

    |

  10. The value of the lim(n->oo)tan{sum(r=1)^ntan^(- 1)(1/(2r^2))} is equal...

    Text Solution

    |

  11. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

    Text Solution

    |

  12. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

    Text Solution

    |

  13. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

    Text Solution

    |

  14. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

    Text Solution

    |

  15. The value of cot(sum(n=1)^2 cot^-1(1+sum(k=1)^n 2k)) is (a) 23/25 (b) ...

    Text Solution

    |

  16. (1/y^2 \ ((cos(tan^(-1) y) + y sin(tan^(-1) y))/(cot(sin^(-1) y) + tan...

    Text Solution

    |

  17. lf cos x + cosy-cos z = 0 = sin x + sin y + sin z then cos((x-y)/2)=

    Text Solution

    |

  18. If cos(pi/4-x)cos2x+sinxsin2xsecx=cos x sin 2x sec x+cos(pi/4+x)cos 2x...

    Text Solution

    |

  19. If cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)(xsqrt(6))),\ x!=0, then possi...

    Text Solution

    |

  20. Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number ...

    Text Solution

    |