If the sin 30° = one half, then the cos 60° = ________.

Question

0, because the angles are complementary
one half, because the angles are complementary
square root 3 over 2, because the angles are complementary
1, because the angles are complementary

Answer 1

The sine and cosine of complementary angles are related such that \(\sin(30°) = \cos(60°)\) and \(\cos(30°) = \sin(60°)\).

Given that \(\sin(30°) = \frac{1}{2}\), this means:

\[ \cos(60°) = \sin(30°) = \frac{1}{2} \]

Therefore, the correct answer is:

one half, because the angles are complementary.