Question

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

sin30°=cos30°

sin30°<cos30°

sin30°>cos30°

sin30°=−cos30°

Answer 1

To find the values of sin 30° and cos 30°, we can refer to the known trigonometric values:

- **sin 30° = 1/2**
- **cos 30° = √3/2 (approximately 0.866)**

Now, we can compare these two values:

- **sin 30° = 1/2** (0.5)
- **cos 30° = √3/2** (approximately 0.866)

Since 0.5 < 0.866, we see that:

**sin 30° < cos 30°**

Therefore, the correct response is:

**sin 30° < cos 30°**.