Pertanyaan

Bentuk sederhana dari cos A + sin A sin A − cos A − sin A cos A adalah ....

Bentuk sederhana dari $\frac{sin A}{cos A + sin A} - \frac{cos A}{cos A - sin A}$ adalah ....

−2 cos A
−2 sec A
−cos 2A
−sec 2A
−2 cos 2A

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Habis dalam

Klaim

M. Robo

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 fraction numerator sin invisible function application A over denominator cos invisible function application A plus sin invisible function application A end fraction minus fraction numerator cos invisible function application A over denominator cos invisible function application A minus sin invisible function application A end fraction equals fraction numerator sin invisible function application A open parentheses cos invisible function application A minus sin invisible function application A close parentheses over denominator open parentheses cos invisible function application A plus sin invisible function application A close parentheses open parentheses cos invisible function application A minus sin invisible function application A close parentheses end fraction minus fraction numerator cos invisible function application A open parentheses cos invisible function application A plus sin invisible function application A close parentheses over denominator open parentheses cos invisible function application A plus sin invisible function application A close parentheses open parentheses cos invisible function application A minus sin invisible function application A close parentheses end fraction equals fraction numerator sin invisible function application A cos invisible function application A minus sin squared invisible function application A over denominator cos squared invisible function application A minus sin squared invisible function application A end fraction minus fraction numerator cos squared invisible function application A plus sin invisible function application A cos invisible function application A over denominator cos squared invisible function application A minus sin squared invisible function application A end fraction equals fraction numerator open parentheses sin invisible function application A cos invisible function application A minus sin squared invisible function application A close parentheses minus open parentheses cos squared invisible function application A plus sin invisible function application A cos invisible function application A close parentheses over denominator cos squared invisible function application A minus sin squared invisible function application A end fraction equals fraction numerator sin invisible function application A cos invisible function application A minus sin squared invisible function application A minus cos squared invisible function application A minus sin invisible function application A cos invisible function application A over denominator cos invisible function application 2 A end fraction equals fraction numerator negative sin squared invisible function application A minus cos squared invisible function application A over denominator cos invisible function application 2 A end fraction equals fraction numerator negative open parentheses sin squared invisible function application A plus cos squared invisible function application A close parentheses over denominator cos invisible function application 2 A end fraction equals fraction numerator negative 1 over denominator cos invisible function application 2 A end fraction equals negative sec invisible function application 2 A end style$

Jadi, jawaban yang tepat adalah D.