Pertanyaan

Trigonometri sin x 2 sin 3 x + cos x 2 cos 3 x setara dengan . . .

Trigonometri $\frac{2 sin 3 x}{sin x} + \frac{2 cos 3 x}{cos x}$ setara dengan . . .

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$fraction numerator 2 space sin space 3 x over denominator sin space x end fraction plus fraction numerator 2 space cos space 3 x over denominator cos begin display style space end style begin display style x end style end fraction equals fraction numerator 2 space sin space 3 x space cos space x plus 2 space cos space 3 x space sin space x over denominator sin begin display style space end style begin display style x end style begin display style space end style begin display style cos end style begin display style space end style begin display style x end style end fraction equals fraction numerator 2 left parenthesis sin space 3 x space cos space x plus cos space 3 x space sin space x right parenthesis over denominator sin begin display style space end style begin display style x end style begin display style space end style begin display style cos end style begin display style space end style begin display style x end style end fraction equals fraction numerator 2 space sin left parenthesis 3 x plus x right parenthesis over denominator begin display style 1 half space sin space 2 x end style end fraction equals fraction numerator 4 space sin space 4 x over denominator sin begin display style space 2 end style begin display style x end style end fraction equals fraction numerator 4.2 space sin space 2 x space cos space 2 x over denominator sin begin display style space end style begin display style 2 end style begin display style x end style end fraction equals 8 space cos space 2 x$