Home
Class 12
MATHS
sin^(-1)x+sin ^(-1)""2x=(pi)/(3)...

`sin^(-1)x+sin ^(-1)""2x=(pi)/(3)`

A

`sqrt((3)/(7))`

B

`(1)/(2)sqrt((3)/(7))`

C

`-sqrt((3)/(7))`

D

`-(1)/(2)sqrt((3)/(7))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

The solution of sin^(-1)x-sin^(-1)2x=pm(pi)/(3) is

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

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

Solve the following sin^(-1) x + sin^(-1) 2 x = ( 2pi)/3

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

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

If sin^(-1)x+sin^(-1)y=(2pi)/3 , then cos^(-1)x+cos^(-1)y is equal to

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Evaluation Test
  1. In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...

    Text Solution

    |

  2. Given b = 2, c = sqrt3, angle A = 30^(@), then inradius of DeltaABC is

    Text Solution

    |

  3. If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then :...

    Text Solution

    |

  4. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

    Text Solution

    |

  5. If tan.(A)/(2)andtan.(B)/(2) are the roots of the quadratic equation 6...

    Text Solution

    |

  6. If a triangle is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  7. In a triangle angleA=55^(@),angleB=15^(@),angleC=110^(@). Then c^(2)-a...

    Text Solution

    |

  8. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  9. The value of cot^(pi)/(4)-2 cot^(-13) is

    Text Solution

    |

  10. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

    Text Solution

    |

  11. If cot^(-1)x-"cos"^(-1)(y)/(2)=alpha, then 4x^(2)-4xy cos alpha+y^(2)...

    Text Solution

    |

  12. sin^(-1)x+sin ^(-1)""2x=(pi)/(3)

    Text Solution

    |

  13. If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan....

    Text Solution

    |

  14. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

    Text Solution

    |

  15. If A = 9 tan^(-1) (sqrt2 - 1) and B = 3 sin^(-1)(1/3)+sin^(-1)(3/5) th...

    Text Solution

    |

  16. If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2), then x+y+z=

    Text Solution

    |

  17. The value of cos^(-1){1/sqrt2(cos((9pi)/10)-sin((9pi)/10))}

    Text Solution

    |

  18. tan^(-1)1+tan^(-1)2+tan^(-1)3=

    Text Solution

    |

  19. Solve tan^-1(1/(1+2x))+tan^-1(1/(1+4x))=tan^-1(2/x^2)

    Text Solution

    |

  20. Solve for x : cot^(-1) sin^(-1), 1/sqrt(5) = pi/4

    Text Solution

    |