dimohon bantuannya. ini identitas trigonometri cos^4 x (1 + tan^4 x) = 1 - 2 sin^2 x cos^2 x
Matematika
RayhanAnantya
Pertanyaan
dimohon bantuannya. ini identitas trigonometri
cos^4 x (1 + tan^4 x) = 1 - 2 sin^2 x cos^2 x
cos^4 x (1 + tan^4 x) = 1 - 2 sin^2 x cos^2 x
1 Jawaban
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1. Jawaban annisanurrohmah1
Cos ^4x (1+tan ^4x) = cos ^4(x) + sin^4(x)
= (cos ^2(x) + sin^2(x) ) - 2sin^2(x)cos^2(x)
ingat cos ^2(x) + sin^2(x) = 1
jadi (cos ^2(x) + sin^2(x) ) - 2sin^2(x)cos^2(x)
= 1 - 2sin^2(x)cos^2(x)