`(d)/(dx)(sin120^(@))`=…………

Options

A. `cos 120^(@)`
B. `120 cos 120^(@)`
C. 0
D. None of these

Answer

To solve the problem \((d)/(dx)(\sin 120^\circ)\), we will follow these steps:

### Step 1: Identify the function
The function we are differentiating is \(\sin 120^\circ\). Since \(120^\circ\) is a constant, \(\sin 120^\circ\) is also a constant.

### Step 2: Apply the differentiation rule
The derivative of a constant is always zero. Therefore, we can state that:
\[ \frac{d}{dx}(\sin 120^\circ) = 0 \]

### Step 3: Conclusion
Thus, the final answer is:
\[ \frac{d}{dx}(\sin 120^\circ) = 0 \]

### Summary of the Solution
The derivative of \(\sin 120^\circ\) with respect to \(x\) is zero because it is a constant value.

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