If $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta ),$ then the value of $\cos \left( {\theta - \frac{\pi }{4}} \right) =$
If $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta ),$ then the value of $\cos \left( {\theta - \frac{\pi }{4}} \right) =$
- A
$\frac{1}{{2\sqrt 2 }}$
- B
$\frac{1}{{\sqrt 2 }}$
- C
$\frac{1}{{3\sqrt 2 }}$
- D
$\frac{1}{{4\sqrt 2 }}$
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