If tan (pi cos theta ) = cot (pi sin theta ), | vedclass

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Question

(a) $	an (\pi \cos 	heta ) = 	an \left( {\frac{\pi }{2} - \pi \sin 	heta } ight)$

$	herefore $ $\,\sin 	heta + \cos 	heta = \frac{1}{2}$

Vedclass · Accepted Answer

$\frac{1}{{2\sqrt 2 }}$

Vedclass · Answer

(a) $	an (\pi \cos 	heta ) = 	an \left( {\frac{\pi }{2} - \pi \sin 	heta } ight)$

$	herefore $ $\,\sin 	heta + \cos 	heta = \frac{1}{2}$

$ \Rightarrow \,\cos \left( {	heta - \frac{\pi }{4}} ight) = \frac{1}{{2\sqrt 2 }}$.

If $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta ),$ then the value of $\cos \left( {\theta - \frac{\pi }{4}} \right) =$

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