$\sin (\pi \cos \theta)=\cos (\pi \sin \theta)$ হলে $\theta$ -এর মান কোনটি?

$\pm \frac{\pi}{4}+\cos ^{-1} \cdot\left(\frac{1}{2 \sqrt{2}}\right)$

$\pm \frac{\pi}{2}+\cos ^{-1}\left(\frac{1}{2 \sqrt{2}}\right)$

$\pm \frac{\pi}{4}+\sin ^{-1}\left(\frac{1}{2 \sqrt{2}}\right)$

$\pm \frac{\pi}{2}+\sin ^{-1}\left(\frac{1}{2 \sqrt{2}}\right)$

$\pm \frac{\pi}{4}+\cos ^{-3}\left(\frac{1}{1 \sqrt{2}}\right)$