If $$ y = \arctan(x) $$, express $$ x $$ in terms of $$ y $$.

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To express $$ x $$ in terms of $$ y $$ given the equation $$ y = \arctan(x) $$, follow these steps:

1. **Understand the Inverse Relationship:**
   The function $$ \arctan(x) $$ is the inverse of the tangent function restricted to a specific interval. This means that if $$ y = \arctan(x) $$, then $$ x $$ can be obtained by taking the tangent of both sides of the equation.

2. **Apply the Tangent Function:**
   Starting with:
   $$
   y = \arctan(x)
   $$
   Apply the tangent function to both sides:
   $$
   \tan(y) = \tan(\arctan(x))
   $$
   
3. **Simplify:**
   Since $$ \tan(\arctan(x)) = x $$, the equation simplifies to:
   $$
   x = \tan(y)
   $$

**Final Answer:**
$$
x = \tan(y)
$$
$$ x = \tan(y) $$

If , express in terms of .

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