Pertanyaan

Nilai dari cos 10 5 ∘ + cos 1 5 ∘ sin 7 5 ∘ − sin 1 5 ∘ = …

Nilai dari $\frac{sin 7 5 ^{\circ} - sin 1 5 ^{\circ}}{cos 10 5 ^{\circ} + cos 1 5 ^{\circ}} = \dots$

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari $fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction equals 1$ .

Pembahasan

Nilainya didapatkan: Jadi, nilai dari .

Nilainya didapatkan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction end cell equals cell fraction numerator 2 space cos space open parentheses begin display style fraction numerator 75 degree plus 15 degree over denominator 2 end fraction end style close parentheses space sin open parentheses begin display style fraction numerator 75 degree minus 15 degree over denominator 2 end fraction end style close parentheses over denominator 2 space cos space open parentheses begin display style fraction numerator 105 degree plus 15 degree over denominator 2 end fraction end style close parentheses space cos space open parentheses begin display style fraction numerator 105 degree minus 15 degree over denominator 2 end fraction end style close parentheses end fraction end cell row blank equals cell fraction numerator 2 space cos space 45 degree space sin space 30 degree over denominator 2 space cos space 60 degree space cos space 45 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style over denominator begin display style 1 half end style end fraction end cell row blank equals 1 end table$

Jadi, nilai dari $fraction numerator sin space 75 degree minus sin space 15 degree over denominator cos space 105 degree plus cos space 15 degree end fraction equals 1$ .