Pertanyaan

Hitunglah nilai dari perbandingan trigonometri berikut. a. cos 3 0 ∘ + cos 6 0 ∘ sin 3 0 ∘ + tan 3 0 ∘

Hitunglah nilai dari perbandingan trigonometri berikut.

a. $\frac{sin 3 0 ^{\circ} + tan 3 0 ^{\circ}}{cos 3 0 ^{\circ} + cos 6 0 ^{\circ}}$

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Jawaban

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell end table equals fraction numerator square root of 3 plus 3 over denominator 6 end fraction$

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Jadi,

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell fraction numerator open parentheses 1 half close parentheses plus open parentheses fraction numerator square root of 3 over denominator 3 end fraction close parentheses blank over denominator open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses plus open parentheses 1 half close parentheses end fraction blank end cell row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell fraction numerator open parentheses fraction numerator 3 plus 2 square root of 3 over denominator 6 end fraction close parentheses blank over denominator open parentheses fraction numerator square root of 3 plus 1 over denominator 2 end fraction close parentheses end fraction blank end cell row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell open parentheses fraction numerator 3 plus 2 square root of 3 over denominator 6 end fraction close parentheses cross times open parentheses fraction numerator 2 over denominator square root of 3 plus 1 end fraction close parentheses end cell row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell fraction numerator open parentheses 3 plus 2 square root of 3 close parentheses blank over denominator 3 open parentheses square root of 3 plus 1 close parentheses end fraction end cell row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell fraction numerator open parentheses 3 plus 2 square root of 3 close parentheses blank over denominator open parentheses 3 square root of 3 plus 3 close parentheses end fraction cross times fraction numerator open parentheses 3 square root of 3 minus 3 close parentheses blank over denominator open parentheses 3 square root of 3 minus 3 close parentheses end fraction space left parenthesis dikali space akar space sekawan space dari space open parentheses 3 square root of 3 plus 3 close parentheses right parenthesis space end cell row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell fraction numerator open parentheses 3 plus 2 square root of 3 close parentheses open parentheses 3 square root of 3 minus 3 close parentheses blank over denominator 6 end fraction space left parenthesis dibagi space 3 right parenthesis end cell row cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell equals cell fraction numerator square root of 3 plus 3 over denominator 6 end fraction end cell end table$

Jadi, $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator s i n blank 30 degree plus t a n blank 30 degree blank over denominator c o s blank 30 degree plus c o s blank 60 degree end fraction end cell end table equals fraction numerator square root of 3 plus 3 over denominator 6 end fraction$