hich of the following expressions has the same value as cos30° ?(1 point) Responses cosπ6 cosine pi over 6 sin30° sine 30 degrees sinπ6 sine pi over 6 cos60°

Answer 1

To find which of the given expressions has the same value as $\cos {30}^{\circ }$, we can first calculate $\cos {30}^{\circ }$:

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

Now let's evaluate the other expressions:

1. $\cos \frac{\pi }{6}$: $$\cos \frac{\pi }{6}=\cos {30}^{\circ }=\frac{\sqrt{3}}{2}$$

2. $\sin {30}^{\circ }$: $$\sin {30}^{\circ }=\frac{1}{2}$$

3. $\sin \frac{\pi }{6}$: $$\sin \frac{\pi }{6}=\sin {30}^{\circ }=\frac{1}{2}$$

4. $\cos {60}^{\circ }$: $$\cos {60}^{\circ }=\frac{1}{2}$$

Thus, the only expression that is equal to $\cos {30}^{\circ }$ (or $\frac{\sqrt{3}}{2}$) is:

$\cos \frac{\pi }{6}$

So, the correct answer is $\cos \frac{\pi }{6}$.