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Question

If sin x=sin y and cos x=cos y, then x is

A
2nπ+y
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B
2nπy
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C
nπ+y
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D
nπy
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Solution

The correct option is D 2nπ+y
Given cos x=cos y and sin x=sin y
By dividing one by another , we get tan x=tan y
So we get x=2nπ+y
therefore the correct option is A

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