Pertanyaan

Nilai dari 1 + cos 6 0 ∘ sin 6 0 ∘ = ...

Nilai dari $\frac{sin 6 0 ^{\circ}}{1 + cos 6 0 ^{\circ}} =$ ...

S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

Jawaban terverifikasi

Pembahasan

Ingatlah nilai dari sudut istimewa trigonometri, yaitu: Sehingga diperoleh perhitungannya yaitu: Maka, nilai dari .

Ingatlah nilai dari sudut istimewa trigonometri, yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 60 degree end cell equals cell 1 half square root of 3 end cell row cell cos space 60 degree end cell equals cell 1 half end cell end table

Sehingga diperoleh perhitungannya yaitu:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 60 degree over denominator 1 plus cos space 60 degree end fraction end cell equals cell fraction numerator begin display style 1 half end style square root of 3 over denominator 1 plus begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 3 over denominator begin display style 2 over 2 end style plus begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 3 over denominator begin display style 3 over 2 end style end fraction end cell row blank equals cell fraction numerator 1 over denominator down diagonal strike 2 end fraction square root of 3 times fraction numerator down diagonal strike 2 over denominator 3 end fraction end cell row blank equals cell 1 third square root of 3 end cell end table$

Maka, nilai dari $fraction numerator sin space 60 degree over denominator 1 plus cos space 60 degree end fraction equals 1 third square root of 3$ .