Given tan(A) = 2 and A is in Quadrant I, find tan(2A).

A. -1/3
B. 2/3
C. -4/3
D. -2/3

To find the value of tan(2A), we can use the double angle formula for tangent, which states that:

tan(2A) = 2 * tan(A) / (1 - tan^2(A))

Given that tan(A) = 2, we substitute this value in the formula:

tan(2A) = 2 * 2 / (1 - 2^2)
= 4 / (1 - 4)
= 4 / (-3)
= -4/3

Therefore, the value of tan(2A) is -4/3.

So the correct answer is C. -4/3.

ditto - same song, different verse