The value of `t a nthetasin(pi/2+theta)cos(pi/2-theta)` is `-1` b. `1` c. `1/2sin2theta` d. none of these

Explanation

To find the value of \( \tan \theta \cdot \sin\left(\frac{\pi}{2} + \theta\right) \cdot \cos\left(\frac{\pi}{2} - \theta\right) \), we will simplify each term step by step.

### Step 1: Simplify \( \sin\left(\frac{\pi}{2} + \theta\right) \)

Using the sine addition formula:
\[ \sin\left(\frac{\pi}{2} + \theta\right) = \cos \theta \]
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