The number of solution of y = 3 1 [ sin x + [ sin x + [ sin x ]]] and [ y + [ y ]] = 2 cos x where [.] denotes the greatest integer function is

y = [ sin x ] and 2 cos x = 2 [ y ] is impossible for every x ∈ R .

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MathematicsFunctionsNumber of Solutions (graph)Medium2 minQB

MathematicsMediumsingle choice

The number of solution of $y = \frac{1}{3} [sin x + [sin x + [sin x]]]$ and $[y + [y]] = 2 cos x$ where [.] denotes the greatest integer function is

Answer:

Solution:

$y = [sin x]$ and $2 cos x = 2 [y]$ is impossible for every $x \in R$ .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Number of Solutions (graph)

⏱ 2mℹ️ Source: QB

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