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Nilai dari cos 4 0 ∘ − cos 2 0 ∘ sin 4 0 ∘ − sin 2 0 ∘ ​ adalah...

Nilai dari adalah...

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M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

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Nilai dari adalah

Nilai dari fraction numerator sin space 40 degree minus sin space 20 degree over denominator cos space 40 degree minus cos space 20 degree end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table

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Pembahasan

Ingat rumus: Sehingga, Jadi, Nilai dari adalah

Ingat rumus:

S i n space A minus sin space B equals 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 cos 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 A plus B close parentheses 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A minus B close parentheses end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank o end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank s 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 A 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 C end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank o end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank s 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 B 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A plus B close parentheses 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses A minus B close parentheses end cell end table

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 40 degree minus sin space 20 degree over denominator cos space 40 degree minus cos space 20 degree end fraction end cell equals cell fraction numerator 2 cos begin display style 1 half end style open parentheses 40 plus 20 close parentheses times sin 1 half open parentheses 40 minus 20 close parentheses over denominator 2 space sin 1 half open parentheses 40 plus 20 close parentheses times sin 1 half open parentheses 40 minus 20 close parentheses end fraction end cell row blank equals cell fraction numerator cos 30 times sin 10 over denominator space sin 30 times sin 10 end fraction end cell row blank equals cell fraction numerator cos 30 over denominator sin 30 end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 3 over denominator begin display style 1 half end style end fraction end cell row blank equals cell square root of 3 end cell end table

Jadi, Nilai dari fraction numerator sin space 40 degree minus sin space 20 degree over denominator cos space 40 degree minus cos space 20 degree end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table

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