Which of the following is correct?

Options

A. `sin1^@gt sin1`
B. `sin1^@ltsin1`
C. `sin1^@=sin1`
D. `sin1^@=pi/180sin1`

Explanation

To solve the question of which option is correct regarding the sine values of angles in degrees and radians, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Radians and Degrees**:
- We know that 1 radian is approximately equal to 57 degrees. This means that when we compare angles in radians and degrees, we can convert them to the same unit for comparison.

2. **Identify the Angles**:
- We have two angles to compare: 1 degree and 1 radian.
- Since 1 radian is approximately 57 degrees, we can conclude that 1 degree is less than 1 radian.

3. **Using the Sine Function**:
- The sine function is an increasing function in the interval from 0 to π/2 (or 0 to 90 degrees). This means that if we have two angles where one is less than the other, the sine of the smaller angle will also be less than the sine of the larger angle.
- Therefore, since 1 degree < 1 radian, we can say that:
\[ \sin(1 \text{ degree}) < \sin(1 \text{ radian}) \]

4. **Conclusion**:
- From the above reasoning, we conclude that the correct option is:
\[ \sin(1 \text{ degree}) < \sin(1 \text{ radian}) \]
- This corresponds to option 2 being the correct answer.