Вычислите 4(sin^4 22°30´+cos^4 22°30´). Created by Maramara. matematika-ru

Вычислите 4(sin^4 22°30´+cos^4 22°30´)...

Maramara @Maramara

July 2022 1 10 Report

Вычислите 4(sin^4 22°30´+cos^4 22°30´)

Answers & Comments

nelle987

Verified answer

$\sin^4\alpha+\cos^4\alpha=(\sin^4\alpha+2\sin^2\alpha\cos^2\alpha+\cos^4\alpha)-\\-2\sin^2\alpha\cos^2\alpha=(\sin^2\alpha+\cos^2\alpha)^2-\frac12(2\sin\alpha\cos\alpha)^2=\\ =1-\frac12\sin^22\alpha$

Отсюда быстро получаем

4(1-0.5*0.5)=3

Ответ: 3.

9 votes Thanks 12

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opredelite problemu vyskazyvaniya i ee aktualnostchelovek sozdan chtoby zhit

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Maramara August 2022 | 0 Ответы

storony treugolnika otnosyatsya kak 4 5 6 a perimetr treugolnika obrazovan41b0ca21b907bf9a92fa585a68592f9f 11523

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Maramara July 2022 | 0 Ответы

x + xy =10...

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Answers & Comments

Verified answer

nizhe priveden ryad terminov vse oni za isklyucheniem odnogo otnosyatsya k ponyatiyu8e84c2bba5ea611bac553fa491be7c3d 37547

opredelite problemu vyskazyvaniya i ee aktualnostchelovek sozdan chtoby zhit

storony treugolnika otnosyatsya kak 4 5 6 a perimetr treugolnika obrazovan5bde8bd55b11959c77afb94bfc52b968 61668

storony treugolnika otnosyatsya kak 4 5 6 a perimetr treugolnika obrazovan41b0ca21b907bf9a92fa585a68592f9f 11523

x + xy =10...

volnuet ego slegka kak veter osinu nazovite sredstvo yazykovoj vyrazitelnosti

sredi predlozhenij 30 37 najdite takoe kotoroe soedinyaetsya s predydushim pri po

b5 sredi predlozhenij 25 30 najdite predlozhenie s obosoblennymopredeleniem

ukazhite sposoby obrazovaniya slovdunoveniemotrazhavshejryabyuzvukblesktysyachekr

bernard shou kak to napisal esli u vas est yabloko i u menya est yabloko i esl

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