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Pertanyaan

Nilai dari fraction numerator sin 78 to the power of o minus sin 12 to the power of o over denominator cos 168 to the power of o minus cos 102 to the power of o end fraction equals....

  1. -1

  2. negative 1 half square root of 2

  3. 0

  4. 1 half square root of 2

  5. 1

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

sin A minus sin B equals 2 cos open parentheses fraction numerator A plus B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator A minus B over denominator 2 end fraction close parentheses  cos A minus cos B equals negative 2 sin open parentheses fraction numerator A plus B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator A minus B over denominator 2 end fraction close parentheses  fraction numerator sin 78 to the power of o minus sin 12 to the power of o over denominator cos 168 to the power of o minus cos 102 to the power of o end fraction space space space equals fraction numerator 2 cos open parentheses fraction numerator 78 to the power of o plus 12 to the power of o over denominator 2 end fraction close parentheses sin open parentheses fraction numerator 78 minus 12 to the power of o over denominator 2 end fraction close parentheses over denominator negative 2 sin open parentheses fraction numerator 168 to the power of o plus 102 to the power of o over denominator 2 end fraction close parentheses sin open parentheses fraction numerator 168 to the power of o minus 102 to the power of o over denominator 2 end fraction close parentheses end fraction  equals fraction numerator 2 cos 45 to the power of o sin 33 to the power of o over denominator negative 2 space sin 135 to the power of o sin 33 to the power of o end fraction  equals negative fraction numerator cos 45 to the power of o over denominator sin 135 to the power of o end fraction  equals negative fraction numerator 1 half over denominator 1 half end fraction  equals negative 1

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