Home
Class 12
MATHS
What is the principal value of cos^(-...

What is the principal value of `cos^(-1)cos((2pi)/3)+sin^(-1)sin((2pi)/3)?`

Text Solution

AI Generated Solution

To solve the problem, we need to find the principal value of the expression: \[ \cos^{-1}(\cos(2\pi/3)) + \sin^{-1}(\sin(2\pi/3)) \] ### Step-by-Step Solution: ...
Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

The principal value of cos^(-1)(cos 2pi/3)+ sin^(-1) sin(2pi/3) is

Write the principal value of cos^(-1)(cos(2 pi)/(3))+sin^(-1)(sin(2 pi)/(3))

What is the value of cos^(-1)(cos(2pi)/3)+sin^(-1)(sin(2pi)/3) ?

cos^(-1)(cos((5 pi)/(3)))+sin^(-1)(sin((5 pi)/(3)))=

sin^(-1)[cos((2 pi)/3)]

The principal values of cos^(-1)(-sin(7pi)/(6)) is

The value of cos^(-1)(cos((pi)/(2)))+cos^(-1)(sin((2pi)/(3))) is

Find the value of cos^(-1) ( cos . (2pi)/3) + sin^(-1) ( sin . (2pi)/3) .

The value of cos^(-1)(cot((pi)/(2)))+cos^(-1)(sin((2pi)/(3))) is

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the vector and cartesian equations of the line passing through...

    Text Solution

    |

  2. Evaluate: |(cos15^0,sin15^0),(sin75^0,cos75^0)|

    Text Solution

    |

  3. What is the principal value of cos^(-1)cos((2pi)/3)+sin^(-1)sin((2p...

    Text Solution

    |

  4. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

    Text Solution

    |

  5. Evaluate: int0^4(|x|+|x-2|+|x-4|)\ dx

    Text Solution

    |

  6. Evaluate: int(dx)/(sqrt(1-x^2))

    Text Solution

    |

  7. Evaluate: int(a x+b)^3dx

    Text Solution

    |

  8. If a matrix has 5 elements, write all possible orders it can have.

    Text Solution

    |

  9. If A=[[2, 3],[ 5,-2]], write A^(-1) in terms of A

    Text Solution

    |

  10. Using properties of determinants, prove the following: |[1,x,x^2],[...

    Text Solution

    |

  11. Write the projection of the vector hat i- hat j on the vector ha...

    Text Solution

    |

  12. Write the direction-cosines of the line joining the points (1, 0, 0...

    Text Solution

    |

  13. Differentiate the following function with respect to x : (log\ x)^...

    Text Solution

    |

  14. If y=log[x+sqrt(x^2+a^2)\ ] , show that ((x^2+a^2)(d^2\ y)/(dx^2)+x(dy...

    Text Solution

    |

  15. Evaluate: int0^(pi/4)(cos^2x)/(cos^2x+4sin^2x)dx\

    Text Solution

    |

  16. Evaluate: int1^3(x^2+x)dx

    Text Solution

    |

  17. Show that of all the rectangles inscribed in a given fixed circle, ...

    Text Solution

    |

  18. Using integration find the area of the triangular region whose side...

    Text Solution

    |

  19. Show that the function f in A=|R-{2/3}\ defined as f(x)=(4x+3)/(6x-4)...

    Text Solution

    |

  20. Find the equation of the plane which contains the line of intersect...

    Text Solution

    |