Question

....

Answer 1

\[\sin(x) = \frac{op }{ hyp }, \tan(x) = \frac{op}{adj}\]

Answer 2

So, we think of this as a triangle.
We need to find the adjacent side of the angle in order to get tangent.

Answer 3

Oh, oops need to redraw.

Answer 4

So, that's a right triangle, so we can use the Pythagorean theorem.

Answer 5

So, we solve for a, and we get 4.

Answer 6

Uhh, not quite. Let me reread your question, we got tan(theta) = 3/4

Answer 7

But we need tan(2*theta) = x

Answer 8

Oh, I see. I made a mistake.

Answer 9

Oh, that's false. One second, heh. Let me see think.

Answer 10

Are you allowed to use a calculator?