Home
Class 12
MATHS
Solve the equation sin^(-1)6x+2sin^(-1)6...

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

Text Solution

Verified by Experts

The correct Answer is:
`x=-(1)/(12)`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos

  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos

  • SAMPLE PAPER 4

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

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

Solve: 2sin^(-1) x +sin^(-1) (1-x)= pi/2

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

Solve sin^(-1)(1-x)-2sin^(-1)x=frac[pi][2]

Prove that cos tan^(-1)sin cot^(-1)x=sqrt((1+x^2)/(2+x^2) .

Solve: "cos"^(-1) x +"sin"^(-1) x/2= pi/6

Directions (Q. Nos. 27 and 28) Solve the following equations: "tan"^(-1)x/(2)+"tan"^(-1)x/(3)=pi/(4),sqrt(6)gtxgt0

Solve the following equations Evaluate "sin"^(-1) ((-1)/2)+"sin"^(-1)((-1)/(2)) .

ARIHANT PUBLICATION-SAMPLE PAPER 5-Short answer type question
  1. Evaluate int (x^(2) + 2x) dx.

    Text Solution

    |

  2. Show that the function f:R to R defined by f(x)=(x)/(x^(2)+1) is neith...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

    Text Solution

    |

  5. A bag contains 5 red marbles and 3 black marbles. Three , marbles are ...

    Text Solution

    |

  6. Using properties of determinants prove that |{:(a^2+2a,2a+1,1),(2a+1...

    Text Solution

    |

  7. A and B throw a pair of dice alternately. A wins the game, if he gets ...

    Text Solution

    |

  8. If A=[{:(1,5),(7,12):}] and B=[{:(9,1),(7,8):}], find a matrix C such ...

    Text Solution

    |

  9. Find the derivative of cos^(-1)((sin x +cos x)/(sqrt(2))),(-pi)/(4)lt ...

    Text Solution

    |

  10. If x=e^(x//y), prove that (dy)/(dx)=(x-y)/(xlogx).

    Text Solution

    |

  11. Find the condition that curves 2x = y^(2) and 2xy = k intersect ortho...

    Text Solution

    |

  12. Evaluate int(1)^(3) (3x^(2) + 2x+1) dx .

    Text Solution

    |

  13. Examine the differentiability of the function f defined by f(x)={{:(2x...

    Text Solution

    |

  14. Evaluate intsqrt((1+x)/(1-x))dx, x ne 1

    Text Solution

    |

  15. Solve the following differential equation x^(2).(dy)/(dx)-xy=1+cos((...

    Text Solution

    |

  16. Find the area of region enclosed by the curve x=3cost, y=2sint.

    Text Solution

    |

  17. int0^(pi/2) (sin^2xdx)/(sinx+cosx)

    Text Solution

    |

  18. Form the differential equation having y= (sin^(-1)x)^(2)+A cos^(-1)x+B...

    Text Solution

    |

  19. The two vectors hatj+hatk and 3hati+hatj+4hatk represents the two side...

    Text Solution

    |

  20. If vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7...

    Text Solution

    |