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Buktikan: 2 sin 2 1 ​ θ cos 2 3 ​ θ + 2 sin 2 5 ​ θ cos 2 3 ​ θ + 2 sin 2 3 ​ θ cos 2 7 ​ θ = sin 4 θ + sin 5 θ

Buktikan:

 

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W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

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terbukti bahwa .

terbukti bahwa begin mathsize 12px style 2 space sin space 1 half straight theta space cos space 3 over 2 straight theta plus 2 space sin space 5 over 2 straight theta space cos space 3 over 2 straight theta plus 2 space sin space 3 over 2 straight theta space cos space 7 over 2 straight theta equals sin space 4 straight theta plus sin space 5 straight theta end style.

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Ingat kembali: Akan dibuktikan . Maka: Jadi, terbukti bahwa .

Ingat kembali:

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

Akan dibuktikan begin mathsize 12px style 2 space sin space 1 half straight theta space cos space 3 over 2 straight theta plus 2 space sin space 5 over 2 straight theta space cos space 3 over 2 straight theta plus 2 space sin space 3 over 2 straight theta space cos space 7 over 2 straight theta equals sin space 4 straight theta plus sin space 5 straight theta end style. Maka: begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell Ruas space kiri end cell equals cell 2 space sin space 1 half straight theta space cos space 3 over 2 straight theta plus 2 space sin space 5 over 2 straight theta space cos space 3 over 2 straight theta plus 2 space sin space 3 over 2 straight theta space cos space 7 over 2 straight theta end cell row blank equals cell open square brackets sin space open parentheses 1 half straight theta plus 3 over 2 straight theta close parentheses plus sin space open parentheses 1 half straight theta minus 3 over 2 straight theta close parentheses close square brackets plus open square brackets sin space open parentheses 5 over 2 straight theta plus 3 over 2 straight theta close parentheses plus sin space open parentheses 5 over 2 straight theta minus 3 over 2 straight theta close parentheses close square brackets plus open square brackets sin space open parentheses 3 over 2 straight theta plus 7 over 2 straight theta close parentheses plus sin space open parentheses 3 over 2 straight theta minus 7 over 2 straight theta close parentheses close square brackets end cell row blank equals cell open square brackets sin space open parentheses 4 over 2 straight theta close parentheses plus sin space open parentheses negative 2 over 2 straight theta close parentheses close square brackets plus open square brackets sin space open parentheses 8 over 2 straight theta close parentheses plus sin space open parentheses 2 over 2 straight theta close parentheses close square brackets plus open square brackets sin space open parentheses 10 over 2 straight theta close parentheses plus sin space open parentheses negative 4 over 2 straight theta close parentheses close square brackets end cell row blank equals cell open parentheses sin space 2 straight theta minus sin space straight theta close parentheses plus open parentheses sin space 4 straight theta plus sin space straight theta close parentheses plus open parentheses sin space 5 straight theta minus sin space 2 straight theta close parentheses end cell row blank equals cell up diagonal strike sin space 2 straight theta end strike up diagonal strike negative sin space straight theta end strike plus sin space 4 straight theta up diagonal strike plus sin space straight theta end strike plus sin space 5 straight theta up diagonal strike negative sin space 2 straight theta end strike end cell row blank equals cell sin space 4 straight theta plus sin space 5 straight theta end cell end table end style  

Jadi, terbukti bahwa begin mathsize 12px style 2 space sin space 1 half straight theta space cos space 3 over 2 straight theta plus 2 space sin space 5 over 2 straight theta space cos space 3 over 2 straight theta plus 2 space sin space 3 over 2 straight theta space cos space 7 over 2 straight theta equals sin space 4 straight theta plus sin space 5 straight theta end style.

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di sesi Live Teaching, GRATIS!

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