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Pertanyaan

Nilai dari fraction numerator sin 220 degree minus sin 80 degree over denominator cos 220 degree minus cos 80 degree end fraction adalah....

  1. square root of 3

  2. 1 third square root of 3

  3. 1 half square root of 3

  4. negative 1 third square root of 3

  5. negative square root of 3

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

equals fraction numerator sin 220 degree minus sin 80 degree over denominator cos 220 degree minus cos 80 degree end fraction  equals fraction numerator 2 cos open parentheses begin display style fraction numerator 220 degree plus 80 degree over denominator 2 end fraction end style close parentheses. sin open parentheses begin display style fraction numerator 220 degree plus 80 degree over denominator 2 end fraction end style close parentheses over denominator negative 2 sin open parentheses fraction numerator 220 degree plus 80 degree over denominator 2 end fraction close parentheses. sin open parentheses fraction numerator 220 degree plus 80 degree over denominator 2 end fraction close parentheses end fraction  equals fraction numerator 2 cos 150 degree. up diagonal strike sin 70 degree end strike over denominator negative 2 sin 50 degree. up diagonal strike sin 70 degree end strike end fraction  equals fraction numerator 2 cos 150 degree over denominator negative 2 sin 50 degree end fraction  equals fraction numerator 2 open parentheses negative begin display style 1 half end style square root of 3 close parentheses over denominator negative 2 open parentheses begin display style 1 half end style close parentheses end fraction equals fraction numerator negative square root of 3 over denominator negative 1 end fraction equals square root of 3

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Buktikanlah setiap identitas berikut. cos3α−cosαsin3α−sinα​=−cotan2α

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