Home
Class 12
MATHS
If |cos^(-1) ((1 -x^(2))/(1 + x^(2)))| l...

If `|cos^(-1) ((1 -x^(2))/(1 + x^(2)))| lt (pi)/(3)`, then

A

`[-1/sqrt3,1/sqrt3]`

B

`(-1/sqrt3,1/sqrt3)`

C

`(0,1/sqrt3)`

D

`[1,2]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)(LINKED COMPREHENSION TYPE QUESTIONS)|9 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

y = cos ^(-1)((1 - x^(2))/(1+ x^(2))) 0 lt x lt 1

If x lt 0 , the prove that cos^(-1) ((1 + x)/(sqrt(2(1 + x^(2))))) = (pi)/(4) - tan^(-1) x

If |cos^-1((1-x^2)/(1+x^2))| < pi/3, then x belongs to the interval

Solve sin^(-1) [sin((2x^(2) + 4)/(1 + x^(2)))] lt pi -3

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)

Prove that : cos^(-1) x + cos^(-1) ((x)/(2) + (sqrt( 3-3x^2) )/( 2) ) = (pi)/ (3)

Differentiate cos^(-1)((1-x^2)/(1+x^2)) , 0lt xlt1 with respect to x

y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1 . find dy/dx

Prove that sin^(-1). ((x + sqrt(1 - x^(2))/(sqrt2)) = sin^(-1) x + (pi)/(4) , where - (1)/(sqrt2) lt x lt(1)/(sqrt2)

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. Prove that: sin^(-1)4/5+sin^(-1)5/(13)+sin^(-1)(16)/(65)=pi/2

    Text Solution

    |

  2. If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)...

    Text Solution

    |

  3. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

    Text Solution

    |

  4. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  5. The value of cos (2Cos^-1 0.8) is

    Text Solution

    |

  6. Find the value of 4 tan^-1 (1/5) - tan^-1 (1/239)

    Text Solution

    |

  7. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

    Text Solution

    |

  8. If |cos^(-1) ((1 -x^(2))/(1 + x^(2)))| lt (pi)/(3), then

    Text Solution

    |

  9. The set of values of x satisfying |sin^(- 1)x|lt|cos^(- 1)x|,is

    Text Solution

    |

  10. Let f(x)=sec^-1(x-10)+cos^-1(10-x). Then range of f(x) is

    Text Solution

    |

  11. Let f(x) = cosec^-1[1 + sin^2x], where [*] denotes the greatest intege...

    Text Solution

    |

  12. The sum sum (n=1)^ootan^(-1)(1/(2^n+2^(1-n))) equals

    Text Solution

    |

  13. tan ((pi)/(4) + (1)/(2) cos^(-1) x) + tan ((pi)/(4) - (1)/(2) cos^(-1)...

    Text Solution

    |

  14. The sum sum(k=1)^oocot^(-1)(2k^2) equals

    Text Solution

    |

  15. The sum tan^(-1).(1)/(1+x+x^2)+tan^(-1).(1/(3+3x+x^2))+tan^(-1).(1/(7+...

    Text Solution

    |

  16. Find the sum of infinite series s = sin^(-1) ( 1/sqrt2) + sin ^(-1) ...

    Text Solution

    |

  17. If cot ^(-1) ((n^(2) - 10n + 21*6)/pi) gt pi/6 , n in N , then find t...

    Text Solution

    |

  18. Find the set of values of k for which x^(2) - kx + sin^(-1) ( sin 4) ...

    Text Solution

    |

  19. Ifp > q > 0a n dp r < -1 < q r , then find the value of tan^(-1)((p-...

    Text Solution

    |

  20. Number of solutions of the equation 2(sin^(-1)x)^2-sin^(-1)x-6=0 is

    Text Solution

    |