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Nilai dari cos ( x + 100 ) ∘ + cos ( x + 40 ) ∘ sin ( x + 100 ) ∘ − sin ( x + 40 ) ∘ ​ adalah...

Nilai dari adalah...

  1. negative square root of 3

  2. -1

  3. negative 1 third square root of 3

  4. 1 third square root of 3

  5. square root of 3

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

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Pembahasan

Jawaban D

Jawaban D

fraction numerator sin left parenthesis x plus 100 right parenthesis degree minus sin left parenthesis x plus 40 right parenthesis degree over denominator cos left parenthesis x plus 100 right parenthesis degree plus cos left parenthesis x plus 40 right parenthesis degree end fraction

equals fraction numerator 2 space cos space begin display style 1 half end style left parenthesis 2 x plus 140 right parenthesis degree sin space begin display style 1 half end style left parenthesis 60 right parenthesis degree over denominator 2 space cos space begin display style 1 half end style left parenthesis 2 x plus 140 right parenthesis degree space cos begin display style 1 half end style left parenthesis 60 right parenthesis degree end fraction

equals fraction numerator sin space 30 space degree over denominator cos space 30 space degree end fraction

equals tan space 30 degree

equals 1 third square root of 3

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