Question

which expressions are equivalent to \\(\tan(\angle g)\\)?

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for $\angle G$

In $\triangle GIH$ (right-angled at $I$), for $\angle G$:

• Opposite side: $IH$
• Adjacent side: $GI$

Thus, $\tan(\angle G) = \frac{IH}{GI}$.

Answer:

$\boldsymbol{\frac{IH}{GI}}$ (assuming the right triangle has right angle at $I$, so opposite to $\angle G$ is $IH$, adjacent is $GI$)