выразить sin^4a+cos^4a через cos4a. Created by lesha921. algebra-ru

выразить sin^4a+cos^4a через cos4a...

lesha921 @lesha921

August 2022 1 10 Report

выразить sin^4a+cos^4a через cos4a

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Kulakca

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$sin^{4} \alpha + cos^{4} \alpha = ( sin^{2} \alpha )^{2} + ( cos^{2} \alpha )^{2} = ( \frac{1 - cos 2 \alpha }{2} )^{2} + ( \frac{1 + cos2 \alpha }{2} )^{2} = \\ \frac{1 - 2cos2 \alpha + cos^{2}2 \alpha }{4} + \frac{1 + 2cos2 \alpha + cos^{2}2 \alpha }{4} = \\ \frac{1 - 2cos2 \alpha + cos^{2} 2 \alpha + 1 + 2cos2 \alpha + cos^{2} 2 \alpha }{4} = \frac{2 cos^{2} 2 \alpha + 2}{4} = \frac{ cos^{2} 2 \alpha + 1}{2} = \frac{ \frac{1 + cos4 \alpha }{2} +1}{2} =$ $\frac{1 + cos4 \alpha + 2}{4} = \frac{1}{4} cos4 \alpha + \frac{3}{4}$

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dokazat tozhdestvo sin2a tgacos2atga1b2c66d3c31b5bbea98dcd77c3412eae 40651

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pomogite reshit pozhalujstaeac8bccadf6e12c3b7d403b17d5fc86a 92118

tolko odin raz v zhizni my teryaem zhizn i doverie podskazhite kak nachat sochinen

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ochen nado kusochek magniya polnostyu sozhgli na vozduhe massovaya dolya oksida mag

rastvorimost karbonata natriya pri 30os ravna 397 g a pri 20os 218 g na 100

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