JEE Advance - Mathematics (1995 - No. 11)
Find the smallest positive number $$p$$ for which the equation $$\cos \left( {p\,\sin x} \right) = \sin \left( {p\cos x} \right)$$ has a solution $$x\, \in \,\left[ {0,2\pi } \right]$$.
$$\frac{\pi}{4}$$
$$\frac{\pi}{2}$$
$$\frac{\pi \sqrt{2}}{4}$$
$$\frac{\pi \sqrt{3}}{4}$$
$$\frac{3\pi}{4}$$
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