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sveta6389b
@sveta6389b
July 2022
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cos^2 15+cos^2 75 почему ответ 1,а не -1?
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kirichekov
Verified answer
15°=90°-75°
cos15°=cos(90°-75°)=sin75°
=> cos²15°=sin²75°
cos²15°+cos²75°=sin²75°+cos²75°=1
sin²α+cos²α=1 - основное тригонометрическое тождество
ответ:
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Answers & Comments
Verified answer
15°=90°-75°cos15°=cos(90°-75°)=sin75°
=> cos²15°=sin²75°
cos²15°+cos²75°=sin²75°+cos²75°=1
sin²α+cos²α=1 - основное тригонометрическое тождество
ответ: 1