If sin 30^\circ = 0.5, what is the cosine of its complement?
A
-0.866
B
-0.5
C
0.5
D
0.866
E
1
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
To find the cosine of the complement of \(30^\circ\), we first calculate the complement:
\(90^\circ - 30^\circ = 60^\circ\)
Next, we need to find \( \cos 60^\circ \). The known trigonometric value is:
\(\cos 60^\circ = 0.5\)
Therefore, the cosine of the complement of \(30^\circ\) is: 0.5
Source: Myschool Past Questions Archive (Record #42044)