Pertanyaan

Jika sin⁡ 35° = p, maka nilai dari cos 21 5 ∘ − sin 32 5 ∘ sin 5 5 ∘ + cos 12 5 ∘ adalah ....

Jika sin⁡ 35° = p, maka nilai dari $\frac{sin 5 5 ^{\circ} + cos 12 5 ^{\circ}}{cos 21 5 ^{\circ} - sin 32 5 ^{\circ}}$ adalah ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah A.

Perhatikan bahwa

$begin mathsize 14px style fraction numerator sin invisible function application 55 degree plus cos invisible function application 125 degree over denominator cos invisible function application 215 degree minus sin invisible function application 325 degree end fraction equals fraction numerator sin invisible function application open parentheses 90 degree minus 35 degree close parentheses plus cos invisible function application open parentheses 90 degree plus 35 degree close parentheses over denominator cos invisible function application open parentheses 180 degree plus 35 degree close parentheses minus sin invisible function application open parentheses 360 degree minus 35 degree close parentheses end fraction equals fraction numerator cos invisible function application 35 degree plus open parentheses negative sin invisible function application 35 degree close parentheses over denominator negative cos invisible function application 35 degree minus open parentheses negative sin invisible function application 35 degree close parentheses end fraction equals fraction numerator cos invisible function application 35 degree minus sin invisible function application 35 degree over denominator negative cos invisible function application 35 degree plus sin invisible function application 35 degree end fraction equals fraction numerator cos invisible function application 35 degree minus sin invisible function application 35 degree over denominator negative open parentheses cos invisible function application 35 degree minus sin invisible function application 35 degree close parentheses end fraction equals space minus 1 end style$

Jadi, jawaban yang tepat adalah A.