You can put this solution on YOUR website! sin(x) = 8/17 and π/2 Find the exact value of tan(2x)
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sin = y/r, so y = 8 and r = 17
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Then x = sqrt[17^2-8^2] = sqrt(225) = 15
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Therefore tan(x) = y/x = 8/15
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Note:: You did not post the quadrant for "x".
You may have to adjust the sign of tan(x).
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tan(2x) = 2tan(x)/[1-tan^2(x)]
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tan(2x) = 2(8/15)/[1-(8/15)^2]
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Cheers,
Stan H.
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