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

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

Text Solution

Verified by Experts

`sec^(-1)(2)`
`sec x=2`
`1/cosx =2`
`cosx =1/2`
Principal value of `sec^(-1)(2)` is `pi/3`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the principal values of sec^(-1)(2)/(sqrt(3)) and sec^(-1)(-2)

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

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

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

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

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

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

Find the principal values of cosec^(-1)(-sqrt2)

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. tan^(- 1)(-1/(sqrt(3)))+tan^(- 1)(-sqrt(3))+tan^(- 1)(sin(-pi/2))

    Text Solution

    |

  2. Evaluate: tan^(-1)(tan((5pi)/6))+cos^(-1){cos(((13pi)/6))}

    Text Solution

    |

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

    Text Solution

    |

  4. Find the principal value of sec^(-1)((-2)/(sqrt(3)))

    Text Solution

    |

  5. Find the set of values of sec^(-1)((sqrt(3))/2)

    Text Solution

    |

  6. Find the principal values of sec^(-1)(2/(sqrt(3))) and sec^(-1)(-2)

    Text Solution

    |

  7. Find the domain of sec^(-1)(2x+1) .

    Text Solution

    |

  8. Find the principal values of each of the following: sec^(-1)(-sqrt(...

    Text Solution

    |

  9. Find the principal values of each of the following: sec^(-1)(2sin((3...

    Text Solution

    |

  10. For the principal value, evaluate tan^(-1)sqrt(3)-sec^(-1)(-2)

    Text Solution

    |

  11. For the principal value, evaluate sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2...

    Text Solution

    |

  12. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

    Text Solution

    |

  13. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

    Text Solution

    |

  14. Find the principal values of "c o s e c"^(-1)(2) and "c o s e c"^(-...

    Text Solution

    |

  15. Find the set of values of "c o s e c"^(-1)(-1/2) .

    Text Solution

    |

  16. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

    Text Solution

    |

  17. For the principal values, evaluate each of the following: tan^(-1)sqr...

    Text Solution

    |

  18. If "c o s e c"^(-1)x+"c o s e c"^(-1)y+"c o s e c"^(-1)z=-(3pi)/2 , fi...

    Text Solution

    |

  19. Find the principal values of each of the following: (i) "cosec"^(-1)(...

    Text Solution

    |

  20. Find the principal values of each of the following: (i) "c o s e c"^...

    Text Solution

    |