buktikan identitas berikut [tex] \frac{tan x^{2} -sin x^{2} }{1-sin x^{2} } =tanx^{4}[/tex]
Matematika
irfanperdana
Pertanyaan
buktikan identitas berikut
[tex] \frac{tan x^{2} -sin x^{2} }{1-sin x^{2} } =tanx^{4}[/tex]
[tex] \frac{tan x^{2} -sin x^{2} }{1-sin x^{2} } =tanx^{4}[/tex]
1 Jawaban
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1. Jawaban Anonyme
variabel x nyusul
[(sin²/cos²) - sin²)]/cos²
= [((sin² - sin² cos²)/cos²]/ cos²
= [sin²(1 - cos²)] / cos^4
= sin² sin² / cos^4
= sin^4(x)/cos^4(x)
= tan^4(x)← terbukti