Nilai dari sin 105∘+sin 15∘ adalah ....

Pertanyaan

Nilai dari begin mathsize 14px style sin space 105 degree plus sin space 15 degree end style adalah ....

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari begin mathsize 14px style sin space 105 degree plus sin space 15 degree end style adalah begin mathsize 14px style 1 half square root of 6 end style.

Pembahasan

Dengan menerapkan rumus penjumlahan sinus, diperoleh perhitungan sebagai berikut.

begin mathsize 14px style 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 alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus 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 beta 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 2 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses alpha plus beta close parentheses 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 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 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses alpha minus beta close parentheses end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell sin space 105 degree plus sin space 15 degree end cell row blank equals cell 2 space sin space 1 half open parentheses 105 degree plus 15 degree close parentheses space cos space 1 half open parentheses 105 degree minus 15 degree close parentheses end cell row blank equals cell 2 space sin space 1 half open parentheses 120 degree close parentheses space cos space 1 half open parentheses 90 degree close parentheses end cell row blank equals cell 2 space sin space 60 degree space cos space 45 degree end cell row blank equals cell 2 times 1 half square root of 3 times 1 half square root of 2 end cell row blank equals cell 1 half square root of 6 end cell end table end style 

Jadi, nilai dari begin mathsize 14px style sin space 105 degree plus sin space 15 degree end style adalah begin mathsize 14px style 1 half square root of 6 end style.

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