Home
Class 12
MATHS
If 0 le x le 1 and theta = sin^(-1) x + ...

If `0 le x le 1` and `theta = sin^(-1) x + cos^(-1) x - tan^(-1) x`, then

A

`(pi)/(2) le theta le (3 pi)/(4)`

B

`0 le theta le pi`

C

`-(pi)/(4) le theta le 0`

D

`(pi)/(4) le theta le (pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

If alpha le 2 sin^(-1) x + cos^(-1) x le beta , then

If alpha lt 2 sin^(-1) x +cos^(-1)x le beta , then

If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

If sin ^(-1) x+cos ^(-1)(1-x)=0 then x=

cos[tan^(-1) {sin(cot^(-1) x)}] =

If |x -2| le 1 , then

If 0 le x le 2pi , then 2^(cosec^(2) x) sqrt(1/2 y^(2) -y+1) le sqrt(2)

If 0 le x le 3 pi , 0 le y le 3 pi and cos x * sin y=1 , then find the possible number of values of the orederd pair (x,y) .

If |x-2|le 1 , then

lim_(x rarr 0) (tan (sin^(-1) 3x))/(sin^(-1) (2 tan x)) =

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. The value of cos^(-1) ("cos" (5pi)/3)+sin^(-1) ("sin"(5pi)/3) is :

    Text Solution

    |

  2. If sec ^(-1) x=cosec^(-1) y then cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=

    Text Solution

    |

  3. If 0 le x le 1 and theta = sin^(-1) x + cos^(-1) x - tan^(-1) x, then

    Text Solution

    |

  4. sec (cosec^(-1) x)=

    Text Solution

    |

  5. tan [sin ^(-1)((3)/(5))-cos ^(-1)(-(4)/(5))]=

    Text Solution

    |

  6. If 2 tan ^(-1)(cos x)=tan ^(-1)cosec^(2) x) then x=

    Text Solution

    |

  7. The value of x for which sin (cot^(-1) (1+x))=cos (tan^(-1) x) is :

    Text Solution

    |

  8. The values of x satisfying tan ^(-1)(x+3)-tan ^(-1)(x-3)=sin ^(-1)((3...

    Text Solution

    |

  9. cos ^(-1) (1)/(2)+2 sin ^(-1) (1)/(2)=

    Text Solution

    |

  10. The value of tan (cos ^(-1) (4)/(5)+tan ^(-1) (2)/(3)) is

    Text Solution

    |

  11. (C(0))/(1)-(C(1))/(2)+(C(2))/(3)+.. . .+((-1)^(n))/(n+1). C(n) =

    Text Solution

    |

  12. The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)...

    Text Solution

    |

  13. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

    Text Solution

    |

  14. If sum(r=1)^(infty) tan ^(-1)((1)/(2 r^(2)))=t then tan t is equal to

    Text Solution

    |

  15. If sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(...

    Text Solution

    |

  16. The solution set of the equation sin ^(-1) x=2 tan ^(-1) x is

    Text Solution

    |

  17. Let (x, y) be such that sin ^(-1)(alpha x)+cos ^(-1) y+cos ^(-1)(b x y...

    Text Solution

    |

  18. Let cos (2 tan ^(-1) x)=(1)/(2) then the value fo x is

    Text Solution

    |

  19. The value of x where x gt 0 and tan (sec ^(-1)((1)/(x)))=sin (tan ^(-1...

    Text Solution

    |

  20. If sin ^(-1) (3)/(x)+sin ^(-1) (4)/(x)=(pi)/(2) then x=

    Text Solution

    |