Without using a calculator, give the exact trigonometric function value with rational denominator. $$ \cos \left(30^{\circ}\right) $$ A. $$ \frac{1}{2} $$ B. $$ \frac{\sqrt{3}}{2} $$ D. $$ \frac{\sqrt{2}}{2} $$ Brestion $$ 16,2.1-2 $$

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To find the exact value of $$ \cos(30^{\circ}) $$ with a rational denominator, let's recall the standard values of trigonometric functions for common angles.

For $$ 30^{\circ} $$:

$$
\cos(30^{\circ}) = \frac{\sqrt{3}}{2}
$$

Thus, among the given options:

- **A.** $$ \frac{1}{2} $$ is incorrect (this is $$ \cos(60^{\circ}) $$).
- **B.** $$ \frac{\sqrt{3}}{2} $$ is **correct**.
- **D.** $$ \frac{\sqrt{2}}{2} $$ is incorrect (this is $$ \cos(45^{\circ}) $$).

**Answer:** B. $$ \frac{\sqrt{3}}{2} $$
The exact value of $$ \cos(30^{\circ}) $$ is $$ \frac{\sqrt{3}}{2} $$.

Without using a calculator, give the exact trigonometric function value with rational denominator. \( \cos \left(30^{\circ}\right) \) A. \( \frac{1}{2} \) B. \( \frac{\sqrt{3}}{2} \) D. \( \frac{\sqrt{2}}{2} \) Brestion \( 16,2.1-2 \)

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