Home
Class 12
MATHS
Find the principal value of the follow...

Find the principal value of the following
(i) `sin^(-1).(1)/(2)`
(ii) `tan ^(-1).(1)/sqrt(3)`
(iii) `cot ^(-1)(-sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
`pi/6`
Promotional Banner

Topper's Solved these Questions

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 2.1)|14 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 2.2)|21 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|6 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

Similar Questions

Explore conceptually related problems

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

Find the principal values of the following : sin^(-1) (-(sqrt(3))/2)

Find the principal values of the following : tan^(-1) (-sqrt(3))

Find the principal value of the following: (i) cosec^(-1)(2) (ii) tan^(-1) (-sqrt3) (iii) cos^(-1) (-(1)/(sqrt2))

Find the principal value of each of the following: i) sin^(-1)(1/2) ii) sin^(-1)(-sqrt(3)/2) iii) tan^(-1)(-1/sqrt(3)) iv) tan^(-1)(-1) v) "cosec"^(-1)(-2) vi) tan^(-1)(-sqrt(3))

Find the principal values of the following : (i) sin ^(-1) ((-sqrt(3))/(2)) (ii) cot^(-1)sqrt(-3) (iii) cos^(-1)(-(1)/(2)) (iv) cosec^(-1)(sqrt(2)) (v) tan^(-1) (vi) cosec^(-1)(-1)

Find the principal values of the following (i) tan^(-1) (tan. (2pi)/(3)) (ii) tan^(-1) (tan (-6))

Find the principal values of the following : tan ^(-1) (-sqrt(3))

Find the principal value of each of the following: i) sin^(-1)(1/sqrt(2)) ii) cos^(-1)(sqrt(3))/2 iii) tan^(-1)(sqrt(3)) iv) "cosec"^(-1)(2)

Find the principal values of the following : (i) sin^(-1)(sqrt(3)) (ii) cot^(-1)(-sqrt(3)) (iii) cos^(-1)(-1(1)/(2)) (iv) sec^(-1)(-(2)/sqrt(3)) (v) tan^(-1)(-1) (vi) cosec ^(-1)(-1) .

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-Objective Type Questions (D. Very Short Answer Types Questions)
  1. Find the principal value of the following (i) sin^(-1).(1)/(2) ...

    Text Solution

    |

  2. Find the principal values of the following : sin^(-1)(1/(sqrt (...

    Text Solution

    |

  3. Find the principal values of the following : sin^(-1) (-(sqrt(...

    Text Solution

    |

  4. Find the principal value of each of the following: i) cos^(-1)(-1/sq...

    Text Solution

    |

  5. Find the principal value of each of the following: cos^(-1)(-(sqrt(...

    Text Solution

    |

  6. Find the principal value of each of the following: i) cos^(-1)(-1/sq...

    Text Solution

    |

  7. Find the principal values of the following : tan ^(-1) (-1)

    Text Solution

    |

  8. Find the principal values of the following : tan ^(-1) (-sqrt(3)...

    Text Solution

    |

  9. Find the principal values of each of the following: cot^(-1)(-1/(sq...

    Text Solution

    |

  10. Find the principal values of each of the following: cot^(-1)(-sqrt(...

    Text Solution

    |

  11. Find the principal values of the following : sec^(-1) (-2)

    Text Solution

    |

  12. Find the principal values of the following : sec^(-1) (2/(sqrt(3...

    Text Solution

    |

  13. Find the principal value of the following: (i) cosec^(-1)(2) (ii) ta...

    Text Solution

    |

  14. Find the principal values of the following : "cosec"^(-1) (-sqr...

    Text Solution

    |

  15. If sin^(-1)(1/3)+cos^(-1)x=pi/2,t h e nfin dxdot

    Text Solution

    |

  16. If sec^(-1)(2) +"cosec"^(-1) (y) = pi/2 , then find y .

    Text Solution

    |

  17. Write down the domain of : (i) f(x) = sin^(-1) x (ii) f(x) ...

    Text Solution

    |

  18. Write down the range of : (i) f(x) = cos^(-1)x (ii) f(x) = c...

    Text Solution

    |

  19. Write down the value of "cosec"^(-1)x +sec^(-1) x , when x ge 1 .

    Text Solution

    |

  20. If 4 sin^(-1)x + cos^(-1)x=pi, then: x=

    Text Solution

    |