If `sintheta+costheta=0 and theta` lies in the fourth quadrant, find `sintheta and costheta`

Explanation

To solve the problem where \( \sin \theta + \cos \theta = 0 \) and \( \theta \) lies in the fourth quadrant, we can follow these steps:

### Step 1: Rearrange the equation
Given the equation:
\[ \sin \theta + \cos \theta = 0 \]
We can rearrange it to:
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