помогите))))cos^4 π/12-sin^4 π/12. Created by nastyavetka15. algebra-ru

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nastyavetka15 @nastyavetka15

August 2022 1 13 Report

помогите))))
cos^4 π/12-sin^4 π/12

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Dимасuk

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Сos⁴(π/12) - sin⁴(π/12) = (cos²(π/12) - sin²(π/12))(cos²(π/12) + sin²(π/12)) = 1(cos²(π/12) - sin²(π/12)) = cos²(π/12) - sin²(π/12)) = cos(2·π/12) = cos(π/6) = √3/2.

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