4: Trigonometric Functions - Basic Level $$ \text { Question } 4 \text { of } 9 $$ What is the period of $$ f(x) $$ ?

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To determine the period of a trigonometric function $$ f(x) $$, we need to know the specific form of the function. Common trigonometric functions and their periods are as follows:

- The sine function $$ \sin(x) $$ has a period of $$ 2\pi $$.
- The cosine function $$ \cos(x) $$ also has a period of $$ 2\pi $$.
- The tangent function $$ \tan(x) $$ has a period of $$ \pi $$.

If the function is of the form $$ f(x) = A \sin(Bx + C) + D $$ or $$ f(x) = A \cos(Bx + C) + D $$, the period can be calculated using the formula:

$$
\text{Period} = \frac{2\pi}{|B|}
$$

If you provide the specific function $$ f(x) $$, I can help you find its period.
The period of $$ f(x) $$ depends on the function's form. For $$ \sin(x) $$ or $$ \cos(x) $$, it's $$ 2\pi $$. For $$ \tan(x) $$, it's $$ \pi $$. For other forms, use the formula $$ \frac{2\pi}{|B|} $$.

4: Trigonometric Functions - Basic Level \[ \text { Question } 4 \text { of } 9 \] What is the period of \( f(x) \) ?

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