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nastyavetka15
@nastyavetka15
August 2022
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cos^4 π/12-sin^4 π/12
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Verified answer
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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Answers & Comments
Verified answer
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.