If sinA = 1/2 and cosB = 1/2 then find the value of A + B.

Options

A. `75^@`
B. `60^@`
C. `120^@`
D. `90^@`

Answer

To solve the problem, we need to find the values of angles A and B given that sin A = 1/2 and cos B = 1/2.

### Step-by-Step Solution:

1. **Identify the angle A from sin A = 1/2:**
- The sine function equals 1/2 at specific angles. We know that:
\[ \sin 30^\circ = \frac{1}{2} \]
- Therefore, we can conclude:
\[ A = 30^\circ \]

2. **Identify the angle B from cos B = 1/2:**
- The cosine function equals 1/2 at specific angles. We know that:
\[ \cos 60^\circ = \frac{1}{2} \]
- Therefore, we can conclude:
\[ B = 60^\circ \]

3. **Calculate A + B:**
- Now that we have the values of A and B, we can add them together:
\[ A + B = 30^\circ + 60^\circ = 90^\circ \]

### Final Answer:
Thus, the value of A + B is:
\[ \boxed{90^\circ} \]