Home
Class 12
MATHS
What is the principal value of sin^(-1)(...

What is the principal value of `sin^(-1)(-(sqrt(3))/2)\ ?`

Text Solution

Verified by Experts

`=>sinx =frac{-sqrt 3}{2}=> sinx=sin(-frac{pi}{3})`
`x=-frac{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

What is the principal value of sin^(-1)(-(sqrt(2))/(2))?

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

Find the principal value of tan^(-1)(-sqrt(3))

Principal value of sin^(-1). (-(sqrt(3))/(2)) is

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

Find the principal value of tan^(-1)(-sqrt3).

Write the principal value of cos^(-1)(sqrt(3)//2)

Find the principal value of: cot^(-1)(sqrt(3))

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. If 4\ sin^(-1)x+cos^(-1)x=pi , then what is the value of x ?

    Text Solution

    |

  2. If x<0,\ y<0 such that x y=1 , then write the value of tan^(-1)x+ta...

    Text Solution

    |

  3. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Write the value of tan(2tan^(-1)1/5) .

    Text Solution

    |

  7. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

    Text Solution

    |

  8. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3))/2)] .

    Text Solution

    |

  9. Write the principal value of tan^(-1)sqrt((3))-cot^(-1)sqrt((-3)) .

    Text Solution

    |

  10. Write the principal value of cos^(-1)[cos(680^0)]dot

    Text Solution

    |

  11. The value of sin^(-1)(sin'(3pi)/(5)) is "….."

    Text Solution

    |

  12. The value of cos^(-1)(cos'(14pi)/(3)) is "…….."

    Text Solution

    |

  13. Write the value of cos(sin^(-1)x+cos^(-1)x) , |x|lt=1 .

    Text Solution

    |

  14. The value of tan((sin^(-1)x+cos^(-1)x)/(2)), when x = (sqrt(3))/(2), i...

    Text Solution

    |

  15. The principal value of sin^(-1)[cos(sin^(-1)'1/2)] is pi/3.

    Text Solution

    |

  16. Find the set of values of "c o s e c"^(-1)((sqrt(3))/2)

    Text Solution

    |

  17. Write the value of tan^(-1)(1/x) for x<0 in terms of cot^(-1)(x) .

    Text Solution

    |

  18. The value of cot^(-1)(-x) x in R in terms of cot^(-1)x is "…….."

    Text Solution

    |

  19. Write the value of cos((tan^(-1)x+cot^(-1)x)/3) , when x=-1/(sqrt(3)) ...

    Text Solution

    |

  20. If cos(tan^(-1)x+cot^(-1)sqrt(3))=0 , find the value of xdot

    Text Solution

    |