Question

Use patterns to find the values of sin 30° and cos 30° and then compare their values.(1 point) Responses sin30°=−cos30° sine 30 degrees equals negative cosine 30 degrees sin30°<cos30° sine 30 degrees less than cosine 30 degrees sin30°=cos30° sine 30 degrees equals cosine 30 degrees sin30°>cos30°

Answer 1

To find the values of \( \sin 30^\circ \) and \( \cos 30^\circ \):

1. Calculate \( \sin 30^\circ \): \[ \sin 30^\circ = \frac{1}{2} \]

2. Calculate \( \cos 30^\circ \): \[ \cos 30^\circ = \frac{\sqrt{3}}{2} \approx 0.866 \]

Now, we can compare their values:

• \( \sin 30^\circ = \frac{1}{2} \)
• \( \cos 30^\circ \approx 0.866 \)

Since \( \frac{1}{2} < \frac{\sqrt{3}}{2} \), we conclude that:

\[ \sin 30^\circ < \cos 30^\circ \]

So, the correct response is: sin30°<cos30° (sine 30 degrees less than cosine 30 degrees).