Pertanyaan

Nilai dari cos 12 0 ∘ − cos 30 0 ∘ sin 15 0 ∘ + sin 12 0 ∘ = ....

Nilai dari $\frac{sin 15 0 ^{\circ} + sin 12 0 ^{\circ}}{cos 12 0 ^{\circ} - cos 30 0 ^{\circ}} = ....$

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S. Nur

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Jawaban terverifikasi

Pembahasan

Ingat kembali bahwa : Maka,

Ingat kembali bahwa :

sin space open parentheses 180 degree minus alpha close parentheses equals sin space alpha cos space open parentheses 180 degree minus alpha close parentheses equals negative cos space alpha cos space open parentheses 360 degree minus alpha close parentheses equals cos space alpha

Maka,

$fraction numerator sin space 150 degree plus sin space 120 degree over denominator cos space 120 degree minus cos space 300 degree end fraction equals fraction numerator sin space open parentheses 180 degree minus 30 degree close parentheses plus sin space open parentheses 180 degree minus 60 degree close parentheses over denominator cos space open parentheses 180 degree minus 60 degree close parentheses minus cos space open parentheses 360 degree minus 60 degree close parentheses end fraction equals fraction numerator sin space 30 degree plus sin space 60 degree over denominator negative cos space 60 degree minus cos space 60 degree end fraction equals fraction numerator 1 half plus 1 half square root of 3 over denominator negative 1 half minus 1 half end fraction equals fraction numerator 1 half open parentheses 1 plus square root of 3 close parentheses over denominator negative 1 end fraction equals negative 1 half open parentheses 1 plus square root of 3 close parentheses$