Use patterns to find the values of sin 30° and cos 30° and then compare their values.(1 point)

Question

Responses

sin30°<cos30°
sine 30 degrees less than cosine 30 degrees

sin30°>cos30°
sine 30 degrees greater 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. \(\sin 30^\circ = \frac{1}{2}\)
2. \(\cos 30^\circ = \frac{\sqrt{3}}{2}\) (approximately 0.866)

Now we can compare their values:

\(\frac{1}{2} < \frac{\sqrt{3}}{2}\)

This means:

\(\sin 30^\circ < \cos 30^\circ\)

So the correct response is:

sin 30° < cos 30°
sine 30 degrees less than cosine 30 degrees