If `tan(picostheta)=cot(pisintheta)`, then `cos(theta-(pi)/(4))=pm(1)/(2sqrt(2))`.

Explanation

To solve the equation \( \tan(\pi \cos \theta) = \cot(\pi \sin \theta) \) and find \( \cos\left(\theta - \frac{\pi}{4}\right) = \pm \frac{1}{2\sqrt{2}} \), we can follow these steps:

### Step-by-Step Solution:

1. **Start with the given equation:**
\[ \tan(\pi \cos \theta) = \cot(\pi \sin \theta) \]
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