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

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)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `-(pi)/(3)` (ii) `(5pi)/(6)` (iii)`(2pi)/(3)` (iv) `(5x)/(6)` (v) `-(pi)/(4)` (iv)` -(pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exericse 2b|10 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exericse 2c|10 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|44 Videos

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|9 Videos

Similar Questions

Explore conceptually related problems

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) .

Find the principal values of the following : "cosec"^(-1) (-sqrt(2))

Find the principal value of each of the following : cos^(-1)(-(sqrt(3))/(2))( ii) cos^(-1)(-(1)/(sqrt(2)))

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

Find the principal value of each of the following: tan^(-1)((1)/(sqrt(3)))( (ii) tan^(-1)(-(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) cot^(-1)(-sqrt(3)) ii) sec^(-1)(-sqrt(2)) iii) "cosec"^(-1)(-1) .

Find the principal value of each of the following: i) cos^(-1)(-1/sqrt(2)) , ii) cos^(-1)(-1/2) , iii) cot^(-1)(-1/sqrt(3))

Evaluate the following cosec ( sin^(-1) (-1/sqrt3))

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)

NAGEEN PRAKASHAN-INVERES TRIGONOMETRIC FUNCTIONS-Exericse 2a
  1. Find the principal values of the following : (i) sin^(-1)(sqrt(3)...

    Text Solution

    |

  2. Find the principal values of the following : (i) sin ^(-1) ((-sq...

    Text Solution

    |

  3. Find the principal values of the following : (i) sin^(-1)(sin.(5...

    Text Solution

    |

  4. If cos^(-1) x = (pi)/(3), the find the value of sin ^(-1)x.

    Text Solution

    |

  5. If tan ^(-1).(3)/(4)=x, the find the value of sex x.

    Text Solution

    |

  6. (i) Evaluate : sec (cos^(-1).(1)/(2)) (ii) slove the equations si...

    Text Solution

    |

  7. If sin ^(-1) x=(1)/(3), then evaluate sin ^(-1) (2xsqrt(1-x^(2)))

    Text Solution

    |

  8. prove that: 2 tan ^(-1)x =(1)/(3) tan^(-1).(1)/( 7) = (pi)/(4)

    Text Solution

    |

  9. Prove that : tan^(-1)1+tan^(-1)2+tan^(-1)3=pi

    Text Solution

    |

  10. Prove that:tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=[pi/4m/n >-1(-3pi)/4m/n...

    Text Solution

    |

  11. Prove that : tan^(-1).(x)/(x+1)- tan ^(-1) (2x +1) = (3pi)/(4)

    Text Solution

    |

  12. Prove that : tan^(-1)1/2+tan^(-1)1/5+tan^(-1)1/8=pi/4

    Text Solution

    |

  13. Prove that : cot^(-1) 3 + cot^(-1).(3)/(4) = cot^(-1) .(1)/(3)

    Text Solution

    |

  14. Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1...

    Text Solution

    |

  15. If cos^(-1)x+cos^(-1)y+cos^(-1)=pi,p rov et h a tx^2+y^2+z^2+2x y z=1.

    Text Solution

    |

  16. 4tan^(- 1)(1/5)=tan^(- 1)(1/70)+tan^(- 1)(1/99)+pi/4

    Text Solution

    |

  17. Prove that : cos ^(-1) ((1- a^(2))/(1+a)) + cos ^(-1)((1-b^(2))/(1+b...

    Text Solution

    |

  18. tan[1/2 sin^(-1)((2a)/(1+a^2)) + 1/2 cos^(-1)((1-a^2)/(1+a^2))]=

    Text Solution

    |

  19. Prove that : cos^(-1).(3)/(5)+ cos^(-1).(12)/(13) = sin^(-1)((12)/(5)...

    Text Solution

    |

  20. Prove that: sin^-1(3/5)-cos^-1(12/13)=sin^-1(16/65)

    Text Solution

    |