Pertanyaan

Hasil cos 6 5 ∘ + cos 2 5 ∘ sin 6 5 ∘ + sin 2 5 ∘ = ...

Hasil $\frac{sin 6 5 ^{\circ} + sin 2 5 ^{\circ}}{cos 6 5 ^{\circ} + cos 2 5 ^{\circ}} = ...$

2
1
-1

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$fraction numerator sin space 65 degree space plus space sin space 25 degree over denominator cos space 65 degree space plus space cos space 25 degree end fraction equals fraction numerator 2 sin begin display style 1 half end style left parenthesis 65 degree plus 25 degree right parenthesis space cos begin display style 1 half end style left parenthesis 65 degree minus 25 degree right parenthesis over denominator 2 cos space begin display style 1 half end style left parenthesis 65 degree plus 25 degree right parenthesis cos begin display style 1 half end style left parenthesis 65 degree minus 25 degree right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator sin begin display style 1 half end style begin display style left parenthesis end style begin display style 65 end style begin display style degree end style begin display style plus end style begin display style 25 end style begin display style degree end style begin display style right parenthesis end style over denominator cos begin display style fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction end style begin display style left parenthesis end style begin display style 65 end style begin display style degree end style begin display style plus end style begin display style 25 end style begin display style degree end style begin display style right parenthesis end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator sin begin display style 45 end style begin display style degree end style over denominator cos begin display style 45 end style begin display style degree end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals tan space 45 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1$