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July 2022 1 6 Report

найти cos a/2 , если sina=0,6 и 0<a<П/2

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potapov19461

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Cos (α/2) = +√((1+cosα)/2). Здесь выбрали знак "+", т.к. из условия следует
0<α/2<π/4.
cos α = √(1-sin²α) = 0.8.

cos (α/2) = +√((1+cosα)/2)=√(1.8/2) = √0.9=3/√10.

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