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willzymustdie
@willzymustdie
August 2021
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УПРОСТИТЬ ВЫРАЖЕНИЕ
(4sinA - 3cosA)^2 + (3sinA + 4cosA)^2
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Dимасuk
Verified answer
(4sinA - 3cosA)² + (3sin²A + 4cos²A) = 16sin²A - 24sinAcosA + 9cos²A +
+ 9cos²A + 24sinAcosA + 16sin²A = 25sin²A + 25cos²A = 25(sin²A + cos²A) =
= 25
3 votes
Thanks 1
sedinalana
(4sinA - 3cosA)^2 + (3sinA + 4cosA)^2=
=16sin
²
A-24sinAcosA+9cos
²
A+9sin
²A+24sinAcosA+16cos²A=
=25(sin²A+cos²A)=25*1=25
3 votes
Thanks 2
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Answers & Comments
Verified answer
(4sinA - 3cosA)² + (3sin²A + 4cos²A) = 16sin²A - 24sinAcosA + 9cos²A ++ 9cos²A + 24sinAcosA + 16sin²A = 25sin²A + 25cos²A = 25(sin²A + cos²A) =
= 25
=16sin²A-24sinAcosA+9cos²A+9sin²A+24sinAcosA+16cos²A=
=25(sin²A+cos²A)=25*1=25