SOLUTION: If θ is an angle in standard position whose terminal side passes through the point (4, 3), then tan2θ = ____

SOLUTION: If θ is an angle in standard position whose terminal side passes through the point (4, 3), then tan2θ = _____.

Question 891585: If θ is an angle in standard position whose terminal side passes through the point (4, 3), then tan2θ = _____.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If θ is an angle in standard position whose terminal side passes through the point (4, 3), then tan2θ = (2tan(t))/(1-tan^2(t))
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Your Problem:
tan(t) = y/x = 3/4
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tan(2t) = (2*(3/4))/(1-(3/4)^2)) = (3/2)/(7/16) = 24/7
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Cheers,
Stan H.
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SOLUTION: If θ is an angle in standard position whose terminal side passes through the point (4, 3), then tan2θ = _____.