Pertanyaan

( tan 4 5 ∘ + sin 3 0 ∘ ) sin 12 0 ∘ + cos 6 0 ∘ + tan ( − 60 ) ∘ adalah ....

$\frac{sin 12 0 ^{\circ} + cos 6 0 ^{\circ} + tan ( - 60 ) ^{\circ}}{( tan 4 5 ^{\circ} + sin 3 0 ^{\circ} )}$ adalah ....

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Habis dalam

Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

diperoleh nilai dari adalah .

diperoleh nilai dari $fraction numerator sin space 120 degree plus cos space 60 degree plus tan space open parentheses negative 60 close parentheses degree over denominator open parentheses tan space 45 degree plus sin space 30 degree close parentheses end fraction$ adalah $fraction numerator 1 minus square root of 3 over denominator 3 end fraction$ .

Pembahasan

Ingat nilai sudut istimewa trigonometri. Perhatikan perhitungan berikut. Jadi, diperoleh nilai dari adalah .

Ingat nilai sudut istimewa trigonometri.

Perhatikan perhitungan berikut.

$table attributes columnalign right center left columnspacing 2px end attributes row blank blank cell fraction numerator sin space 120 degree plus cos space 60 degree plus tan space open parentheses negative 60 close parentheses degree over denominator open parentheses tan space 45 degree plus sin space 30 degree close parentheses end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 3 plus begin display style 1 half end style minus square root of 3 over denominator open parentheses 1 plus begin display style 1 half end style close parentheses end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator square root of 3 plus 1 minus 2 square root of 3 over denominator 2 end fraction end style over denominator begin display style fraction numerator 2 plus 1 over denominator 2 end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 1 minus square root of 3 over denominator 2 end fraction end style over denominator begin display style 3 over 2 end style end fraction end cell row blank equals cell fraction numerator 1 minus square root of 3 over denominator up diagonal strike 2 end fraction cross times fraction numerator up diagonal strike 2 over denominator 3 end fraction end cell row blank equals cell fraction numerator 1 minus square root of 3 over denominator 3 end fraction end cell end table$

Jadi, diperoleh nilai dari $fraction numerator sin space 120 degree plus cos space 60 degree plus tan space open parentheses negative 60 close parentheses degree over denominator open parentheses tan space 45 degree plus sin space 30 degree close parentheses end fraction$ adalah $fraction numerator 1 minus square root of 3 over denominator 3 end fraction$ .