Question

\(cos\left(\frac{\pi}{2} + x\right) \) is equal to: 
 

• A. \( \sin x \)
• B. \( \cos x \)
• C. \( -\sin x \)
• D. None of these

Hint:

Remember the identity \( \cos\left(\frac{\pi}{2} + x\right) = -\sin x \) for trigonometric calculations.

Answer 1

The Correct Option is C

Step 1: Using the trigonometric identity.
We use the following trigonometric identity: \[ \cos\left(\frac{\pi}{2} + x\right) = -\sin x \]
Step 2: Explanation.
This is a standard identity in trigonometry. When the angle is shifted by \( \frac{\pi}{2} \), the cosine function becomes negative sine.
Step 3: Conclusion.
Thus, the value of \( \cos\left(\frac{\pi}{2} + x\right) \) is \( -\sin x \). Final Answer:} \( -\sin x \).