is 2tanx the same as tan2x?

No, 2tan(x) is not the same as tan(2x). Let me explain why.

The trigonometric function "tan" represents the tangent of an angle. It is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side in a right triangle.

When we write "2tan(x)", it means the tangent of the angle x multiplied by 2. In other words, we double the value of the tangent of angle x.

On the other hand, "tan(2x)" means the tangent of twice the angle x. It represents the tangent of the angle 2x.

So, the expressions "2tan(x)" and "tan(2x)" are different.