Pertanyaan

Nyatakan setiap bentuk berikut menjadi jumlah atau selisih sudut. i. 5 cos 2 5 α ⋅ sin 2 α

Nyatakan setiap bentuk berikut menjadi jumlah atau selisih sudut.

i. $5 cos \frac{5 α}{2} \cdot sin \frac{α}{2}$

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

nilai .

nilai $table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 straight alpha over denominator 2 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight alpha over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight alpha end table$ .

Pembahasan

Ingat kembali: Maka: Jadi, nilai .

Ingat kembali:

2 space cos space straight alpha space sin space straight beta equals sin space open parentheses straight alpha plus straight beta close parentheses minus sin space open parentheses straight alpha minus straight beta close parentheses

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell 5 space cos space fraction numerator 5 straight alpha over denominator 2 end fraction times sin space straight alpha over 2 end cell equals cell 5 over 2 times 2 times cos space fraction numerator 5 straight alpha over denominator 2 end fraction times sin space straight alpha over 2 end cell row blank equals cell 5 over 2 times open parentheses 2 times cos space fraction numerator 5 straight alpha over denominator 2 end fraction times sin space straight alpha over 2 close parentheses end cell row blank equals cell 5 over 2 times open parentheses sin space open parentheses fraction numerator 5 straight alpha over denominator 2 end fraction plus straight alpha over 2 close parentheses minus sin space open parentheses fraction numerator 5 straight alpha over denominator 2 end fraction minus straight alpha over 2 close parentheses close parentheses end cell row blank equals cell 5 over 2 times open parentheses sin space fraction numerator 6 straight alpha over denominator 2 end fraction minus sin space fraction numerator 4 straight alpha over denominator 2 end fraction close parentheses end cell row blank equals cell 5 over 2 times open parentheses sin space 3 straight alpha minus sin space 2 straight alpha close parentheses end cell row blank equals cell 5 over 2 space sin space 3 straight alpha minus 5 over 2 sin space 2 straight alpha end cell end table$

Jadi, nilai $table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 straight alpha over denominator 2 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight alpha over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 over 2 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight alpha end table$ .