Pertanyaan

[UN 2013 IPA] Nilai dari sin 14 0 ∘ − sin 10 0 ∘ cos 14 0 ∘ − cos 10 0 ∘ adalah …

[UN 2013 IPA]

Nilai dari $\frac{cos 14 0 ^{\circ} - cos 10 0 ^{\circ}}{sin 14 0 ^{\circ} - sin 10 0 ^{\circ}}$ adalah …

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$fraction numerator cos space 140 degree minus cos space 100 degree over denominator sin space 140 degree minus sin space 100 degree end fraction$

$equals fraction numerator negative 2 space sin begin display style 1 half end style left parenthesis 140 degree plus 100 degree right parenthesis space sin begin display style 1 half end style left parenthesis 140 degree minus 100 degree right parenthesis over denominator 2 space cos begin display style 1 half end style left parenthesis 140 degree plus 100 degree right parenthesis space sin begin display style 1 half end style left parenthesis 140 degree minus 100 degree right parenthesis end fraction equals fraction numerator negative 2 sin space 120 degree. space sin space 20 degree over denominator 2 space cos space 120 degree. space sin space 20 degree end fraction equals negative fraction numerator sin space 120 degree over denominator cos space 120 degree end fraction equals negative tan space 120 degree equals negative left parenthesis negative square root of 3 right parenthesis equals square root of 3$