Home
Class 12
MATHS
Find the principal value of: cos^(-1)(-1...

Find the principal value of: `cos^(-1)(-1/2)`

Text Solution

AI Generated Solution

To find the principal value of \( \cos^{-1}(-\frac{1}{2}) \), we can follow these steps: ### Step 1: Set up the equation Let \( y = \cos^{-1}(-\frac{1}{2}) \). This implies that: \[ \cos y = -\frac{1}{2} \] ...
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

Find the principal value of: sin^(-1)(-1/2)

Find the principal value of: sin^(-1)(-1/2)

Find the principal value of: cos^(-1)(-1/(sqrt(2)))

Find the principal value of cos^(-1)(1/sqrt2) .

The principal value of cos^(-1)(-1/2) is

Find the principal value of: cose c^(-1)(2)

Find the principal value of sec^(-1)(2)

Find the principal value of: tan^(-1)(-1)

Find the principal value of: tan^(-1)(-1)

Find the principal value of cos^(-1)(-sqrt3/2) .

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

    Text Solution

    |

  2. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

    Text Solution

    |

  3. Find the principal value of: cos^(-1)(-1/2)

    Text Solution

    |

  4. Show that the plane x-5y-2z =1 contains the line (x-5)/3 = y = 2- z

    Text Solution

    |

  5. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

    Text Solution

    |

  6. If | (2x, -9), (-2, x) | = |(-4,8) , (1, -2)|, then value of x is

    Text Solution

    |

  7. If A is a non- singular square matrix of the order 3xx3 such that A^2=...

    Text Solution

    |

  8. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

    Text Solution

    |

  9. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

    Text Solution

    |

  10. Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx

    Text Solution

    |

  11. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

    Text Solution

    |

  12. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

    Text Solution

    |

  13. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

    Text Solution

    |

  14. Amongst all open (from the top) right circular cylindrical boxes of vo...

    Text Solution

    |

  15. If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...

    Text Solution

    |

  16. If y=e^{a\cos ^{-1}x},-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/...

    Text Solution

    |

  17. Find f'(x) if f(x) = tan x^(tan x)

    Text Solution

    |

  18. Amongst all open (from the top) right circular cylindrical boxes of vo...

    Text Solution

    |

  19. the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...

    Text Solution

    |

  20. Using the method of integration find the area of the triangle ABC, ...

    Text Solution

    |