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Nilai dari cos 34 0 ∘ − cos 8 0 ∘ sin 28 0 ∘ − sin 2 0 ∘ adalah ...

Nilai dari $\frac{sin 28 0 ^{\circ} - sin 2 0 ^{\circ}}{cos 34 0 ^{\circ} - cos 8 0 ^{\circ}}$ adalah ... $\;$

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A. Armanda

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$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 280 degree minus sin space 20 degree over denominator cos space 340 degree minus cos space 80 degree end fraction end cell row blank equals cell fraction numerator 2 cos space 1 half open parentheses 280 degree plus 20 degree close parentheses times sin space 1 half open parentheses 280 degree minus 20 degree close parentheses over denominator negative 2 sin space 1 half open parentheses 340 degree plus 80 degree close parentheses times sin space 1 half open parentheses 340 degree minus 80 degree close parentheses end fraction end cell row blank equals cell fraction numerator 2 cos space begin display style fraction numerator 300 degree over denominator 2 end fraction end style times sin space begin display style fraction numerator 260 degree over denominator 2 end fraction end style over denominator negative 2 sin space begin display style fraction numerator 420 degree over denominator 2 end fraction end style times sin space begin display style fraction numerator 260 degree over denominator 2 end fraction end style end fraction end cell row blank equals cell negative fraction numerator cos space begin display style 150 degree end style over denominator sin space begin display style 210 degree end style end fraction end cell row blank equals cell negative fraction numerator cos space open parentheses 180 degree minus 30 degree close parentheses over denominator sin space begin display style open parentheses 180 degree plus 30 degree close parentheses end style end fraction end cell row blank equals cell negative fraction numerator negative cos space begin display style 30 degree end style over denominator negative sin space begin display style 30 degree end style end fraction end cell row blank equals cell negative fraction numerator cos space begin display style 30 degree end style over denominator sin space begin display style 30 degree end style end fraction end cell row blank equals cell negative fraction numerator begin display style 1 half square root of 3 end style over denominator begin display style 1 half end style end fraction end cell row blank equals cell negative square root of 3 end cell end table$

Jadi, $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 280 degree minus sin space 20 degree over denominator cos space 340 degree minus cos space 80 degree end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table$ .

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