Conisder the following statements :
1. Value of sin `theta` oscillates between - 1 and .
2. Value of cos `theta` oscillates between 0 and 1 .
Which of the above statements is / are correct ?

Options

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Explanation

To solve the problem, we need to analyze the two statements provided regarding the sine and cosine functions.

### Step-by-Step Solution:

1. **Evaluate the first statement:**
- The first statement claims that the value of \( \sin \theta \) oscillates between -1 and 1.
- The sine function, \( \sin \theta \), indeed has a range of values from -1 to 1 for all angles \( \theta \).
- Therefore, this statement is **correct**.

2. **Evaluate the second statement:**
- The second statement claims that the value of \( \cos \theta \) oscillates between 0 and 1.
- The cosine function, \( \cos \theta \), has a range of values from -1 to 1, not just 0 to 1.
- Therefore, this statement is **incorrect**.

3. **Conclusion:**
- Since the first statement is correct and the second statement is incorrect, we conclude that only the first statement is true.

### Final Answer:
- **Only the first statement is correct.**