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(sin∅+cos∅)²+(sin∅-cos∅)²=2
sin²∅+cos²∅+2.sin∅.cos∅+sin²∅+cos²∅-2.sin∅.cos∅
1+2.sin∅.cos∅+1-2.sin∅.cos∅. (:sin²∅+cos²∅=1)
1+1. (: +2.sin∅.cos∅-2.sin∅.cos∅ are cancelled)
=2
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