2 sin альфа /2cos альфа

To simplify the expression \( \frac{2 \sin(\alpha)}{2 \cos(\alpha)} \), you can first notice that the factor of 2 in the numerator and the denominator cancels out. So, we have: \[ \frac{2 \sin(\alpha)}{2 \cos(\alpha)} = \frac{\sin(\alpha)}{\cos(\alpha)} \] Now, \( \frac{\sin(\alpha)}{\cos(\alpha)} \) is equal to \( \tan(\alpha) \). Therefore, the simplified form of the expression is: \[ \tan(\alpha) \]