(cosx−sinx)2(cosx+sinx)2=...

Pertanyaan

$\frac{\left(\mathrm{cosx}+\mathrm{sinx}\right)^2}{\left(\mathrm{cosx}-\mathrm{sinx}\right)^2}=...$

$fraction numerator 1 over denominator 1 minus cos 2 straight x end fraction$
$fraction numerator 1 over denominator 1 minus sin 2 straight x end fraction$
$fraction numerator 1 plus cos 2 straight x over denominator 1 minus cos 2 straight x end fraction$
$fraction numerator 1 plus 2 sinx over denominator 1 minus 2 sinx end fraction$

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$open parentheses cos space x space plus space sin space x close parentheses squared over open parentheses cos space x space minus space sin space x close parentheses squared equals fraction numerator begin display style cos squared end style begin display style x end style begin display style plus end style begin display style begin display style sin end style squared end style begin display style plus end style begin display style 2 end style begin display style sin end style begin display style x end style begin display style. end style begin display style cos end style begin display style x end style over denominator cos squared x plus sin squared minus 2 sin x. cos x end fraction equals fraction numerator 1 plus 2 sin x. cos x over denominator 1 minus 2 sin x. cos x end fraction equals fraction numerator begin display style 1 plus sin 2 x end style over denominator begin display style 1 minus sin 2 x end style end fraction$

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