Pertanyaan

Bentuk sederhana dari sin x sin 3 x + cos x cos 3 x adalah....

Bentuk sederhana dari $\frac{sin 3 x}{sin x} + \frac{cos 3 x}{cos x}$ adalah....

cos 2x
2 cos 2x
4 cos 2x
sin 2x
2 sin 2x

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Klaim

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 3 x over denominator sin space x end fraction plus fraction numerator cos space 3 x over denominator cos space x end fraction end cell equals cell fraction numerator sin space 3 x space cos space x plus cos space 3 x space sin space x over denominator sin space x space cos space x end fraction end cell row blank blank blank row blank equals cell fraction numerator sin left parenthesis 3 x plus x right parenthesis over denominator 1 half space left parenthesis 2 sin space x space cos space x right parenthesis end fraction end cell row blank blank blank row blank equals cell fraction numerator sin space 4 x over denominator 1 half sin space 2 x end fraction end cell row blank blank blank row blank equals cell fraction numerator 2 sin space 2 x space cos space 2 x over denominator 1 half sin space 2 x end fraction end cell row blank equals cell fraction numerator 2 up diagonal strike sin space 2 x end strike space cos space 2 x over denominator 1 half up diagonal strike sin space 2 x end strike end fraction end cell row blank blank blank row blank equals cell 4 space cos space 2 x end cell end table$