Home
Class 12
MATHS
The value of sin^(-1)("cot"(sin^(-1)((...

The value of `sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))/4+sec^(-1)sqrt(2))))i s` (a)`0` (b) `pi/2` (c) `pi/3` (d) none of these

Text Solution

Verified by Experts

`sin^(-1)(cot(sin^(-1)(sqrt3-1)/(2sqrt3)+cos^(-1)(sqrt3/2)+sec^(-1)sqrt2)`
`sin^(-1)(cot(15+30+45))`
`sin^(-1)(cot(90))`
`sin^(-1)0=0`.
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Question Bank|24 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise JEE Advanced Previous Year|8 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

The value of cos^(-1)[cot(sin^(-1)(sqrt((2-sqrt(3))/(4)))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))

sin^(-1){cot(sin^(-1)(sqrt((2-sqrt(3))/(4))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))}

sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)(sqrt(2))= (a) 0 (b) pi/4 (c) pi/6 (d) pi/2

The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/(4))+cos^(-1)(sqrt(12))/(4)+sec^(-1)sqrt(2))} is equal to (pi)/(4) (b) (pi)/(2)(c)0(d)-(pi)/(2)

cos^(-1)(cos(2cot^(-1)(sqrt(2)-1))) is equal to sqrt(2)-1( b) (pi)/(4)(c)(3 pi)/(4) (d) none of these

The value of sin^(-1)((3)/(sqrt(73)))+cos^(-1)((11)/(sqrt(146)))+cot^(-1)sqrt(3) is k pi then (1)/(k)

The value of sin^(-1)((3)/(sqrt(73)))+cos^(-1)((11)/(sqrt(146)))+cot^(-1)sqrt(3) is (A)(5 pi)/(12) ( textrmB ) (17 pi)/(12) (C) (7 pi)/(12) (D) None of these

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If cos e c^(-1)(cos e cx) and cos e c(cos e c^(-1)x) are equal functi...

    Text Solution

    |

  2. cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to sqrt(2)-1 (b) pi/4 ...

    Text Solution

    |

  3. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12)...

    Text Solution

    |

  4. The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equ...

    Text Solution

    |

  5. The value of cos(1/2cos^(-1)(1/8)) is

    Text Solution

    |

  6. Solve the equation tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7...

    Text Solution

    |

  7. Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

    Text Solution

    |

  8. If 0lta1lta2lt....ltan , then prove that tan^(-1)((a1x-y) /(x+a1y))+ta...

    Text Solution

    |

  9. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

    Text Solution

    |

  10. If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = ...

    Text Solution

    |

  11. The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1...

    Text Solution

    |

  12. f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical f...

    Text Solution

    |

  13. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

    Text Solution

    |

  14. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to ...

    Text Solution

    |

  15. The solution of the inequality (log)(1/2sin^(-1)x >(log)(1//2)cos^(-1)...

    Text Solution

    |

  16. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

    Text Solution

    |

  17. If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen (a)x inR (b) [-1,1] (c) ...

    Text Solution

    |

  18. Mean and standard deviation of 100 observations of are found to be 40 ...

    Text Solution

    |

  19. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi...

    Text Solution

    |

  20. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

    Text Solution

    |