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  • The number of values of y in [-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is

The number of values of y in [-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is

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Solution: Here,

1leq left | sin2x ight |+left | cos2x ight |leq sqrt2 and left | siny ight |leq 1

So, solution is possible only when left | siny ight |leq 1

\Rightarrow siny=pm 1\ \Rightarrow y=pm pi /2,pm 3pi /2

herefore Number of value of y is 4

Posted by

Deependra Verma

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