Question 1198623
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{{{tan(theta) = 1/2}}} is given


{{{tan(2theta) = (2*tan(theta))/(1-tan^2(theta))}}} is one of the many identities that should be given to you on a reference sheet.


So,
{{{tan(2theta) = (2*tan(theta))/(1-tan^2(theta))}}}


{{{tan(2theta) = (2*(1/2))/(1-(1/2)^2)}}}


{{{tan(2theta) = (1)/(1-1/4)}}}


{{{tan(2theta) = (1)/(3/4)}}}


{{{tan(2theta) = 4/3}}}


Answer: <font color=red>Choice E) 4/3</font>
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