Pertanyaan

cos 2 xcos 2 y sin 2 x − sin 2 y =

$\frac{sin ^{2} x - sin ^{2} y}{cos ^{2} xcos ^{2} y} =$

K. Nurul

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah D.

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin squared invisible function application straight x minus sin squared invisible function application straight y over denominator cos squared invisible function application xcos squared invisible function application straight y end fraction end cell equals cell fraction numerator sin squared invisible function application straight x over denominator cos squared invisible function application xcos squared invisible function application straight y end fraction minus fraction numerator sin squared invisible function application straight y over denominator cos squared invisible function application xcos squared invisible function application straight y end fraction end cell row blank equals cell fraction numerator sin squared invisible function application straight x over denominator cos squared invisible function application straight x end fraction times fraction numerator 1 over denominator cos squared invisible function application straight y end fraction minus fraction numerator sin squared invisible function application straight y over denominator cos squared invisible function application straight y end fraction times fraction numerator 1 over denominator cos squared invisible function application straight x end fraction end cell row blank equals cell tan squared invisible function application straight x times sec squared invisible function application straight y minus tan squared invisible function application straight y times sec squared invisible function application straight x end cell row blank equals cell tan squared invisible function application straight x times open parentheses tan squared invisible function application straight y plus 1 close parentheses minus tan squared invisible function application straight y times open parentheses tan squared invisible function application straight x plus 1 close parentheses end cell row blank equals cell tan squared invisible function application xtan squared invisible function application straight y plus tan squared invisible function application straight x minus tan squared invisible function application ytan squared invisible function application straight x minus tan squared invisible function application straight y end cell row blank equals cell tan squared invisible function application straight x minus tan squared invisible function application straight y end cell end table end style$

Jadi, jawaban yang tepat adalah D.