Pertanyaan

Tentukan nilai dari cos 12 0 ∘ − sin 15 0 ∘ sin 12 0 ∘ + cos 15 0 ∘ .

Tentukan nilai dari $\frac{sin 12 0 ^{\circ} + cos 15 0 ^{\circ}}{cos 12 0 ^{\circ} - sin 15 0 ^{\circ}}$ .

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Klaim

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Gunakan sudut relasi pada kuadrat II berikut: Sehingga diperoleh.

Gunakan sudut relasi pada kuadrat II berikut:

Sehingga diperoleh.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell fraction numerator sin space 120 degree plus cos space 150 degree over denominator cos space 120 degree minus sin space 150 degree end fraction end cell equals cell fraction numerator sin space open parentheses 90 degree plus 30 degree close parentheses plus cos space open parentheses 90 degree plus 60 degree close parentheses over denominator cos space open parentheses 90 degree plus 30 degree close parentheses minus sin space open parentheses 90 degree plus 60 degree close parentheses end fraction end cell row blank equals cell fraction numerator cos space 30 degree plus open parentheses negative sin space 60 degree close parentheses over denominator negative sin space 30 degree minus cos space 60 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 3 minus begin display style 1 half end style square root of 3 over denominator negative begin display style 1 half end style minus begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator 0 over denominator negative 1 end fraction end cell row cell fraction numerator sin space 120 degree plus cos space 150 degree over denominator cos space 120 degree minus sin space 150 degree end fraction end cell equals 0 end table end style$