Pertanyaan

cos 6 7 ∘ sin 6 8 ∘ + cos 2 3 ∘ sin 2 2 ∘ sama dengan ...

$cos 6 7^{\circ} sin 6 8^{\circ} + cos 2 3^{\circ} sin 2 2^{\circ}$ sama dengan $...$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Rumus perkalian trigonometri: Pembahasan: Oleh karena itu, jawaban yang benar adalah B.

Rumus perkalian trigonometri:

$cos space A space sin space B equals fraction numerator sin space open parentheses A plus B close parentheses minus sin space open parentheses A minus B close parentheses over denominator 2 end fraction$

Pembahasan:

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell cos space 67 degree space sin space 68 degree space plus space cos space 23 degree space sin space 22 degree end cell row blank equals cell fraction numerator sin space open parentheses 67 degree plus 68 degree close parentheses minus sin space open parentheses 67 degree minus 68 degree close parentheses over denominator 2 end fraction plus fraction numerator sin space open parentheses 23 degree plus 22 degree close parentheses minus sin space open parentheses 23 degree minus 22 degree close parentheses over denominator 2 end fraction end cell row blank equals cell fraction numerator sin space 135 degree minus space sin space open parentheses negative 1 degree close parentheses over denominator 2 end fraction plus fraction numerator sin space 45 degree minus sin space 1 degree over denominator 2 end fraction end cell row blank equals cell fraction numerator sin space 135 degree plus space sin space open parentheses 1 degree close parentheses over denominator 2 end fraction plus fraction numerator sin space 45 degree minus sin space 1 degree over denominator 2 end fraction end cell row blank equals cell fraction numerator sin space 135 degree plus sin space 45 degree over denominator 2 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator square root of 2 over denominator 2 end fraction end style plus begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator 2 end fraction end cell row blank equals cell fraction numerator square root of 2 over denominator 2 end fraction end cell end table end style$

Oleh karena itu, jawaban yang benar adalah B.