Total number of ordered pairs (x, y) satisfying and where is equal to

JEE MainMathematicsEasyITF

Total number of ordered pairs (x, y) satisfying $|y| = \cos x$
and $y = \sin^{- 1}(sinx)$ where $x \in \lbrack - 2,\ 3\rbrack$ is equal
to

Show answer and solution

Graphs of

y = \sin^{- 1}(sinx)

and

|y| = cosx

meet exactly
two times in
Hence (4) is the correct answer.

Source: Grass-G / M-17 Mathematics Paper 26 Nov Second.docx

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