Home
Class 12
MATHS
The value of cos^(-1)sqrt(2/3)-cos^(-1)(...

The value of `cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3)))` is equal to (A) `pi/3` (B) `pi/4` (C) `pi/2` (D) `pi/6`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin (pi/6 - sin^(-1) ((-sqrt(3))/2))

Evaluate cos[cos^(-1)((-sqrt(3))/(2)+(pi)/(6))]

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

The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x in (pi/2,pi) , is equal to (a) pi/2 (b) -pi (c) pi (d) -pi/2

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

int_(5/2)^5(sqrt((25-x^2)^3))/(x^4)dx is equal to (a) pi/6 (b) (2pi)/3 (c) (5pi)/6 (d) pi/3

Range of the function f(x)=sqrt(cos^(- 1)(sqrt(log_4x))-pi/2)+sin^(- 1)((1+x^2)/(4x)) is equal to (A) (0,pi/2+sqrt(pi/2)] (B) [pi/2,pi/2+sqrt(pi/2)] (C) [pi/6,pi/4) (D) {pi/6}

Evaluate : cos^(-1) cos ((6pi)/5) +cos^(-1) cos ((4pi)/3)

The value of lim_(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If cos e c^(-1)(cos e cx) and cos e c(cos e c^(-1)x) are equal functio...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The value of cos(1/2cos^(-1)(1/8)) is (a)3/4 (b) -3/4 (c) 1/(16)...

    Text Solution

    |

  5. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/(x))=tan^(-1)(-7), then x is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then asqrt(1-a^2)+bsqrt(1-b^2)+cs...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If sin^(-1)x-cos^(-1)x=(pi)/(6),"then"

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the number of solution of 2tan^(-1)(tanx)=6-xdot

    Text Solution

    |

  17. Find the value of sin(1/4cos^(-1)((-1)/9))

    Text Solution

    |

  18. Find the value of sin(1/2cot^(-1)(-3/4))

    Text Solution

    |

  19. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

    Text Solution

    |

  20. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

    Text Solution

    |