Home
Class 12
MATHS
If cos (tan ^(-1) (sin (cot^ (-1) sqrt(3...

If `cos (tan ^(-1) (sin (cot^ (-1) sqrt(3)))) =y`, then

A

`y=4/5`

B

`y=2/sqrt5`

C

`y=-2/sqrt5`

D

`y^(2)=10/11`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -I)|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -II)|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

cot(tan^(-1)sqrt(3))

If: cos(tan^(-1)x)=sin (cot^(-1).(3)/(4)), then : x =

Prove that cos (tan^(-1) (sin (cot^(-1) x))) = sqrt((x^(2) + 1)/(x^(2) + 2))

f(x)=cos(2tan^-1(sin(cot^-1sqrt((1-x)/x)))) then

a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then

If cot^(-1)(sqrt(cos1))-tan^(-1)(sqrt(cos1))=alpha then the value of sin alpha is -

If a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then find a-b " and " a+b

If k=cos^(4)[tan^(-1){sin(cot^(-1)5)}] , then the value of 27sqrt(k)-17 is :

If a=sin^(-1) (-sqrt2/2)+cos^(-1) (-1/2) and b=tan^(-1) (-sqrt3)-cot^(-1) (-1/sqrt3) , then

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Section A: Domain, Range
  1. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  2. cosec^(-1)(cos x) is real if

    Text Solution

    |

  3. If cos (tan ^(-1) (sin (cot^ (-1) sqrt(3)))) =y, then

    Text Solution

    |

  4. The value of tan[sin^(-1) (3/5)+tan^(-1) (2/3)] is

    Text Solution

    |

  5. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

    Text Solution

    |

  6. The value of cos (1/2 cos^(-1) . 1/8) is equal to

    Text Solution

    |

  7. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  8. If xlt0, then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to

    Text Solution

    |

  9. tan^-1a+tan^-1b, where a > 0, b>0, ab > 1, is equal to

    Text Solution

    |

  10. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

    Text Solution

    |

  11. If sin^(-1)x + sin^(-1)y =(2pi)/3, then: cos^(-1)x +cos^(-1)y=

    Text Solution

    |

  12. if tan ^-1 (( sqrt (1+x^2)-1)/x) = pi/45 then:

    Text Solution

    |

  13. If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4, then tan theta is...

    Text Solution

    |

  14. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...

    Text Solution

    |

  15. Find all possible values of p and q for which cos^-1 sqrt(p)+cos^-1 sq...

    Text Solution

    |

  16. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

    Text Solution

    |

  17. The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x s...

    Text Solution

    |

  18. The value of x satisfying sin^-1x + sin^-1(1– x ) = cos^1 x are

    Text Solution

    |

  19. The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi...

    Text Solution

    |

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

    Text Solution

    |