Pertanyaan

Bentuk sederhana dari ( 1 + tan 2 x ) ( 1 − cos 2 x ) adalah ....

Bentuk sederhana dari $(1 + tan^{2} x) (1 - cos^{2} x)$ adalah ....

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat! Perhatikan perhitungan berikut! Jadi, jawaban yang tepat adalah C.

Ingat!

$begin mathsize 14px style sin squared invisible function application x plus cos squared invisible function application x equals 1 tan invisible function application x equals fraction numerator sin invisible function application x over denominator cos invisible function application x end fraction end style$

Perhatikan perhitungan berikut!

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 1 plus tan squared invisible function application x close parentheses open parentheses 1 minus cos squared invisible function application x close parentheses end cell equals cell open parentheses 1 plus fraction numerator sin squared invisible function application x over denominator cos squared invisible function application x end fraction close parentheses open parentheses sin squared invisible function application x close parentheses end cell row blank equals cell sin squared invisible function application x plus fraction numerator sin to the power of 4 invisible function application x over denominator cos squared invisible function application x end fraction end cell row blank equals cell fraction numerator sin squared invisible function application x cos squared invisible function application x plus sin to the power of 4 invisible function application x over denominator cos squared invisible function application x end fraction end cell row blank equals cell fraction numerator sin squared invisible function application x left parenthesis 1 minus sin squared invisible function application x right parenthesis plus sin to the power of 4 invisible function application x over denominator cos squared invisible function application x end fraction end cell row blank equals cell fraction numerator sin squared invisible function application x minus sin to the power of 4 invisible function application x plus sin to the power of 4 invisible function application x over denominator cos squared invisible function application x end fraction end cell row blank equals cell fraction numerator sin squared invisible function application x over denominator cos squared invisible function application x end fraction end cell row blank equals cell tan squared invisible function application x end cell end table end style$

Jadi, jawaban yang tepat adalah C.