Number of solutions of the equation $sin x = cos x$ in the interval $[- 2 π, 2 π]$ is

3

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4

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5

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2

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Solution

The correct option is B $4$
Number of solutions $=$ Number of points of intersection of $y = sin x$ and $y = cos x$ in the given interval
From this graph we see that $y = sin x$ and $y = cos x$ intersect at $4$ points in the interval $[- 2 π, 2 π]$

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