Pertanyaan

Nilai dari 3 cosec 6 0 ∘ + cot 3 0 ∘ = ... .

Nilai dari $3 cosec 6 0^{\circ} + cot 3 0^{\circ} = ...$ .

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

diperoleh nilai dari adalah .

diperoleh nilai dari 3 space cosec space 60 degree plus cot space 30 degree

adalah

Pembahasan

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

Ingat nilai sudut istimewa trigonometri.

table attributes columnalign right center left columnspacing 2px end attributes row cell sin space 60 degree end cell equals cell 1 half square root of 3 end cell row cell tan space 30 degree end cell equals cell 1 third square root of 3 end cell end table

Perhatikan perhitungan berikut.

$table attributes columnalign right center left columnspacing 2px end attributes row cell 3 space cosec space 60 degree plus cot space 30 degree end cell equals cell 3 cross times fraction numerator 1 over denominator sin space 60 degree end fraction plus fraction numerator 1 over denominator tan space 30 degree end fraction end cell row blank equals cell 3 cross times fraction numerator 1 over denominator begin display style 1 half end style square root of 3 end fraction plus fraction numerator 1 over denominator begin display style 1 third end style square root of 3 end fraction end cell row blank equals cell 3 cross times fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction plus fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell 3 cross times fraction numerator 2 over denominator square root of 3 end fraction plus fraction numerator 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 6 over denominator square root of 3 end fraction plus fraction numerator 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 9 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 9 over 3 square root of 3 end cell row blank equals cell 3 square root of 3 end cell end table$

Jadi, diperoleh nilai dari 3 space cosec space 60 degree plus cot space 30 degree adalah 3 square root of 3 .