Home
Class 12
MATHS
If 4sin^(-1)x+cos^(-1)x=pi, then x is eq...

If `4sin^(-1)x+cos^(-1)x=pi`, then `x` is equal to

A

`1/2`

B

`sqrt3/2`

C

`-1/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (3)(TRUE AND FALSE)|3 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (3)(FILL IN THE BLANKS)|4 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (2)(FILL IN THE BLANKS)|2 Videos

  • INTEGRATION

    ML KHANNA|Exercise SELF ASSESSMENT TESET|10 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/ REASONS) |3 Videos

Similar Questions

Explore conceptually related problems

If 4 "sin"^(-1)x+"cos"^(-1)x=pi , then x is equal to

If 4 sin^(-1)x + cos^(-1)x=pi , then: x=

If 2 sin^(-1)x - cos^(-1)x = pi/2 , then x is equal to

If 4sin^(-1)x+6cos^(-1)x=3pi then x= . . .

sin^(-1) x + cos^(-1) x = pi/4

Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
  1. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

  2. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

    Text Solution

    |

  3. If cos^(-1)x gt sin^(-1) x, then

    Text Solution

    |

  4. If x^2+y^2+z^2=r^2, " then " tan^(-1) ""(xy)/(zr)+tan^(-1) ""(yz)/(xr)...

    Text Solution

    |

  5. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

    Text Solution

    |

  6. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

    Text Solution

    |

  7. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

    Text Solution

    |

  8. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

    Text Solution

    |

  9. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

    Text Solution

    |

  10. If (sin^(-1)x)^(2)+(cos^(-1)x)^(2)=(5pi^(2))/(8) then x =

    Text Solution

    |

  11. Find the set of values of parameter a so that the equation (sin^(-1)x)...

    Text Solution

    |

  12. If tan(x+y)=33, and x= tan^(-1)3, then: y=

    Text Solution

    |

  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 then the value of x^(100)+y^(...

    Text Solution

    |

  14. a^3/2 cosec^2(1/2 tan^(-1)""a/b)+b^3/2 sec^2(1/2tan^(-1)""b/a) is equa...

    Text Solution

    |

  15. The number of the + ive integral solutions of tan^(-1)x+cos^(-1) "" y/...

    Text Solution

    |

  16. If x1 , x2 , x3 , x4 are roots of equation x^4-x^3 sin 2beta+x^2 cos 2...

    Text Solution

    |

  17. lim(nto oo) overset(n)underset(r=1)Sigma tan^(-1)(1/(2r^2)) is equal t...

    Text Solution

    |

  18. If ci >0 for i=1,\ 2,\ ,\ n , prove that tan^(-1)((c1x-y)/(c1y+x))+t...

    Text Solution

    |

  19. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

    Text Solution

    |

  20. If tan^(-1) ""1/4 + 2 tan^(-1)"" 1/5+tan^(-1)"" 1/6 + tan^(-1) ""1/x=p...

    Text Solution

    |