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Question

Find the value of x for which f(x)=sinxcosx is defined, xϵ[0,2π]

A
xϵ[π8,5π8]
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B
xϵ[π4,3π4]
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C
xϵ[π6,5π6]
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D
xϵ[π4,5π4]
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Solution

The correct option is D xϵ[π4,5π4]
f(x)=sinxcosx is defined if sinxcosx
From the graph, sinxcosx, for xϵ[π4,5π4]
275969_148550_ans_ea70b49e37be4deba1d07a34dd511f1c.png

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