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Question Number 172026 by Mikenice last updated on 23/Jun/22

$$showthat$$$${sin}^2\alpha +{(1+cos\alpha )}^2=2(1+cos\alpha )$$

Answered by puissant last updated on 23/Jun/22

$${sin}^2\alpha +{(1+cos\alpha )}^2$$$$={sin}^2\alpha +1+2cos\alpha +{cos}^2\alpha$$$$={sin}^2\alpha +{cos}^2\alpha +1+2cos\alpha$$$$=2+2cos\alpha$$$$=2(1+cos\alpha )$$

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