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Question

If α,β are supplementary angles, then sin2α+cos2β =

A
1
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B
-1
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C
2
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D
\N
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Solution

The correct option is A 1
α,β are supplementary angles, i.e. α+β=180
sin2α+cos2β=sin2α+cos2(180α)=sin2α+cos2α=1

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