JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The smallest positive number

p

for which the equation

\cos (p \sin x)=\sin (p \cos x)

has a solution

x \in[0,2 \pi]

, is equal to

View answer and explanation

Correct option: D

\frac{\pi}{2 \sqrt{2}}

Option D (

\frac{\pi}{2 \sqrt{2}}

) is correct because it is the smallest positive value of

p

that satisfies the given equation.

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