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kokokokokokokoko
@kokokokokokokoko
July 2022
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(cos^2 165 - sin^2 15)^2
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nafanya2014
Verified answer
Так как cos 165°=cos(180°-15°)=-cos15°
и применяя формулу косинуса двойного угла
cos²15°-sin²15°=сos30°
,
получим
(cos²165° - sin² 15°)² = ((-сos15°)²-sin²15°)² = ((cos²15°-sin²15°))²=(cos30°)²=(√3/2)²=3/4
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Answers & Comments
Verified answer
Так как cos 165°=cos(180°-15°)=-cos15°
и применяя формулу косинуса двойного угла cos²15°-sin²15°=сos30° ,
получим
(cos²165° - sin² 15°)² = ((-сos15°)²-sin²15°)² = ((cos²15°-sin²15°))²=(cos30°)²=(√3/2)²=3/4