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ssshhh3
@ssshhh3
August 2022
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80 баллов! Упростите выражение. С решением!
[tex] \frac{sin( \pi - \alpha )cos( \alpha -2 \pi )}{cos( \frac{5 \pi }{2}- \alpha ) } [/tex]
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sharadi
Verified answer
Sin(π-α) = Sinα
Cos(α -2π) = Cos(2π -α) = Cosα
Cos(3π/2 -α) = - Sinα
теперь видно как упростился пример и ответ: - Cosα
1 votes
Thanks 1
ssshhh3
Там ведь cos (5π/2-α) а не Cos(3π/2 -α)
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Answers & Comments
Verified answer
Sin(π-α) = SinαCos(α -2π) = Cos(2π -α) = Cosα
Cos(3π/2 -α) = - Sinα
теперь видно как упростился пример и ответ: - Cosα