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Nilai dari cos 22 0 ∘ − cos 8 0 ∘ sin 22 0 ∘ − sin 8 0 ∘ ​ adalah....

Nilai dari 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

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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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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