Pertanyaan

Hitunglah setiap nilai operasi trigonometri berikut : sin 12 0 ∘ + sin 15 0 ∘ cos 21 0 ∘ − cos 30 0 ∘ .

Hitunglah setiap nilai operasi trigonometri berikut : $\frac{cos 21 0 ^{\circ} - cos 30 0 ^{\circ}}{sin 12 0 ^{\circ} + sin 15 0 ^{\circ}} .$

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S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos 210 degree minus cos 300 degree over denominator sin 120 degree plus sin 150 degree end fraction end cell equals cell fraction numerator cos open parentheses 180 degree plus 30 degree close parentheses minus cos open parentheses 360 degree minus 60 degree close parentheses over denominator sin open parentheses 180 degree minus 60 degree close parentheses plus sin open parentheses 180 degree minus 30 degree close parentheses end fraction end cell row blank equals cell fraction numerator negative cos 30 degree minus cos 60 degree over denominator sin 60 degree plus sin 30 degree end fraction end cell row blank equals cell fraction numerator negative 1 half square root of 3 minus 1 half over denominator 1 half square root of 3 plus 1 half end fraction end cell row blank equals cell fraction numerator negative open parentheses 1 half square root of 3 plus 1 half close parentheses over denominator 1 half square root of 3 plus 1 half end fraction end cell row blank equals cell negative 1 end cell end table end style$