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Proof problem: (cosα- 1)? +sin? α=2-2cosα proves that both sides are equal. This is the first volume of mathematical problems in the basic module of technical secondary school.
(cosα- 1)？ +sin? α

=cos？ α-2cosα+ 1+sin？ α

=(cos？ α+sin? α)+ 1-2cosα

= 1+ 1-2cosα

=2-2cosα

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