College Math

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Find the exact value of:

sin [2sin^-1 (-sq rt (3)/2)]

how do i answer this question? i don't know how to find the answer.

  • College Math -

    start with sin^-1 (-√3/2)
    which is 240 degrees or 300 degrees
    so 2sin^-1 (-√3/2) is 480 or 600 degrees

    then the sine of that ...

    sin 480 = sin 120 = sin 60 = √3/2
    sin 600 = sin 240 = - sin 60 = -√3/2

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