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Question

The general solution of sin x=sin α, α ϵ [π2,π2] is


A

x=nπ+(1)nα, n ϵ Z

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B

x=nπ+α, n ϵ Z

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C

x=2nπ±α, n ϵ Z

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D

None of these

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Solution

The correct option is A

x=nπ+(1)nα, n ϵ Z


The general solution of sin x=sin α, α ϵ [π2,π2] is
x=nπ+(1)nα, n ϵ Z


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