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Pre cal

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Find the exact value of
Sin ( sin-1. 9/41 - cos-1 (-5/13)

  • Pre cal - ,

    let sin-1. 9/41 = ß and cos-1 (-5/13 = Ø
    so sin ß = 9/41 and cos ß = 40/41
    and cosØ = -5/13 and sinØ = 12/13

    then Sin ( sin-1. 9/41 - cos-1 (-5/13)
    = sin(ß - Ø)
    = sinßcosØ - cosßsinØ
    = (9/41)(-5/13) - (40/41)(12/13) = -525/533

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