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pre cal

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find the exact value of tan(2sin-1 3/5)

  • pre cal -

    let sin^-1 (3/5) = Ø

    then sinØ = 3/5 and cosØ = 4/5

    so you want tan 2Ø
    = sin2Ø/cos2Ø
    = 2sinØcosØ/(2cos^2Ø - 1)
    = 2(3/5)(4/5)/(32/25 - 1)
    =(24/25) / (7/25)
    = (24/25)(25/7)
    = 24/7

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