Pertanyaan

1 − tan 4 x cos 4 x − sin 4 x setara dengan . . .

$\frac{cos ^{4} x - sin ^{4} x}{1 - tan ^{4} x}$ setara dengan . . .

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$fraction numerator cos to the power of 4 x minus sin to the power of 4 x over denominator 1 minus tan to the power of 4 x end fraction equals fraction numerator left parenthesis cos squared x plus sin squared x right parenthesis left parenthesis cos squared x minus sin squared x right parenthesis over denominator left parenthesis 1 plus tan squared x right parenthesis left parenthesis 1 minus tan squared x right parenthesis end fraction equals fraction numerator 1. left parenthesis cos squared x minus sin squared x right parenthesis over denominator sec squared straight x open parentheses 1 minus begin display style fraction numerator sin squared straight x over denominator cos squared straight x end fraction end style close parentheses end fraction equals fraction numerator down diagonal strike cos squared x minus sin squared x end strike over denominator open parentheses begin display style fraction numerator 1 over denominator begin display style cos squared x end style end fraction end style close parentheses begin display style open parentheses fraction numerator down diagonal strike cos squared x minus sin squared x end strike over denominator begin display style cos squared x end style end fraction close parentheses end style end fraction equals fraction numerator 1 over denominator open parentheses begin display style fraction numerator 1 over denominator begin display style cos squared x end style end fraction end style close parentheses begin display style open parentheses fraction numerator 1 over denominator begin display style cos squared x end style end fraction close parentheses end style end fraction equals fraction numerator 1 over denominator open parentheses begin display style fraction numerator 1 over denominator begin display style cos to the power of 4 x end style end fraction end style close parentheses end fraction equals cos to the power of 4 x$