Pertanyaan

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

Nilai dari $\frac{sin ( x + 100 ) ^{\circ} - sin ( x + 40 ) ^{\circ}}{cos ( x + 100 ) ^{\circ} + cos ( x + 40 ) ^{\circ}}$ adalah...

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Habis dalam

Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Jawaban D

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

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

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