Question

The complement of Sin (15°) is Cos (75°).

Question 1 options:
True
False
Question 2 (2 points)
The complement of Sin (15°) is Cos (80°).

Question 2 options:
True
False

Answer 1

To determine the truth of the statements regarding the complement of \(\sin(15^\circ)\):

### Question 1:
The complement of \(\sin(15^\circ)\) is \(\cos(75^\circ)\).

This statement is **True**.

The reason is that the sine of an angle and the cosine of its complement are equal. Specifically:
\[
\sin(15^\circ) = \cos(90^\circ - 15^\circ) = \cos(75^\circ)
\]

### Question 2:
The complement of \(\sin(15^\circ)\) is \(\cos(80^\circ)\).

This statement is **False**.

As established, the complement of \(\sin(15^\circ)\) is \(\cos(75^\circ)\), not \(\cos(80^\circ)\).

### Summary:
1. Question 1: True
2. Question 2: False