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Bentuk tan 2 x − 1 sin 4 x − cos 4 x identik dengan bentuk ....

Bentuk $\frac{sin ^{4} x - cos ^{4} x}{tan ^{2} x - 1}$ identik dengan bentuk ....

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Identitas trigonometri: Jadi, identik dengan Oleh karena itu, Jawaban yang benar adalah A

Identitas trigonometri:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin to the power of 4 straight x minus cos to the power of 4 straight x over denominator tan squared straight x minus 1 end fraction end cell equals cell fraction numerator left parenthesis sin squared straight x minus cos squared straight x right parenthesis left parenthesis sin squared straight x plus cos squared straight x right parenthesis over denominator begin display style fraction numerator sin squared space straight x over denominator cos squared space straight x end fraction end style minus 1 end fraction end cell row blank equals cell fraction numerator left parenthesis sin squared straight x minus cos squared straight x right parenthesis left parenthesis sin squared straight x plus cos squared straight x right parenthesis over denominator begin display style fraction numerator sin squared space straight x over denominator cos squared space straight x end fraction minus fraction numerator cos squared space straight x over denominator cos squared space straight x end fraction end style end fraction end cell row blank equals cell fraction numerator left parenthesis sin squared straight x minus cos squared straight x right parenthesis left parenthesis sin squared straight x plus cos squared straight x right parenthesis over denominator begin display style fraction numerator sin squared space straight x minus cos squared space straight x over denominator cos squared space straight x end fraction end style end fraction end cell row blank equals cell fraction numerator left parenthesis sin squared straight x minus cos squared straight x right parenthesis left parenthesis 1 right parenthesis over denominator begin display style fraction numerator sin squared space straight x minus cos squared space straight x over denominator cos squared space straight x end fraction end style end fraction end cell row blank equals cell left parenthesis sin squared straight x minus cos squared straight x right parenthesis times fraction numerator cos squared space straight x over denominator left parenthesis sin squared straight x minus cos squared straight x right parenthesis end fraction end cell row blank equals cell cos squared space straight x end cell end table$

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Oleh karena itu, Jawaban yang benar adalah A

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