Assertion (A) : `sin 0^(@) = 0 and sin 90^(@) = 1`
Reason (R ) : The value of sin A can exceed 1

Options

A. Both A and R are true and R is the correct explanation of A.
B. Both A and R are true and R is NOT the correct explanation of A.
C. A is true but R is false
D. A is false but R is true

Answer

To analyze the given assertion and reason, we will break down the statements step by step.

### Step 1: Evaluate the Assertion (A)
The assertion states that:
- \( \sin 0^\circ = 0 \)
- \( \sin 90^\circ = 1 \)

**Solution:**
- The sine of 0 degrees is indeed 0. This is a fundamental property of the sine function.
- The sine of 90 degrees is indeed 1. This is also a fundamental property of the sine function.

Thus, both parts of the assertion are true.

### Step 2: Evaluate the Reason (R)
The reason states that:
- The value of \( \sin A \) can exceed 1.

**Solution:**
- The sine function, by definition, has a range of values between -1 and 1 for all angles \( A \). Therefore, it cannot exceed 1.
- This means the statement in the reason is false.

### Step 3: Conclusion
Since the assertion is true and the reason is false, we conclude that the assertion is correct, but the reason is incorrect.

### Final Answer:
- Assertion (A) is true.
- Reason (R) is false.