Pertanyaan

Bentuk yang ekuivalen dengan cos 2 x − sin 2 x + 1 1 − 2 1 adalah ...

Bentuk yang ekuivalen dengan $\frac{1}{cos ^{2} x - sin ^{2} x + 1} - \frac{1}{2}$ adalah ...

$begin mathsize 14px style fraction numerator cot squared invisible function application x over denominator 2 end fraction end style$
$begin mathsize 14px style fraction numerator tan squared invisible function application x over denominator 2 end fraction end style$

C. Ciru

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah E.

Perhatikan bahwa

$begin mathsize 14px style fraction numerator 1 over denominator cos squared invisible function application x minus sin squared invisible function application x plus 1 end fraction minus 1 half equals fraction numerator 1 over denominator cos squared invisible function application x plus open parentheses 1 minus sin squared invisible function application x close parentheses end fraction minus 1 half equals fraction numerator 1 over denominator cos squared invisible function application x plus cos squared invisible function application x end fraction minus 1 half equals fraction numerator 1 over denominator 2 cos squared invisible function application x end fraction minus 1 half equals fraction numerator sec squared invisible function application x over denominator 2 end fraction minus 1 half equals fraction numerator sec squared invisible function application x minus 1 over denominator 2 end fraction equals fraction numerator open parentheses tan squared invisible function application x plus 1 close parentheses minus 1 over denominator 2 end fraction equals fraction numerator tan squared invisible function application x over denominator 2 end fraction end style$

Jadi, jawaban yang tepat adalah E.