If \sin (\\pi \cos \\theta)=\cos (\\pi \sin \\theta), then which of the following is correct?

Correct Answer is : cos(θ−π4)=12√2

\cos (\\theta-\frac{\\pi}{2})={1}/{2 \sqrt{2}

\cos (\\theta-\frac{\\pi}{4})={1}/{2 \sqrt{2}

\cos (\\theta+\frac{\\pi}{4})=-{1}/{2 \sqrt{2}

Manipal Entrance Test 2018 Math Paper

Question : 31 of 70

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If sin(π‌cos‌θ)=cos(π‌sin‌θ), then which of the following is correct?

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