Pertanyaan

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

Hitunglah nilai dari perbandingan trigonometri berikut.

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

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style fraction numerator sin blank 30 degree cross times cos blank 30 degree blank over denominator tan blank 60 degree plus tan space 30 degree end fraction equals 3 over 16 end style$

Pembahasan

Jadi,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin blank 30 degree cross times cos blank 30 degree blank over denominator tan blank 60 degree plus tan invisible function application 30 degree end fraction end cell equals cell fraction numerator open parentheses 1 half close parentheses cross times open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses blank over denominator square root of 3 plus fraction numerator square root of 3 over denominator 3 end fraction end fraction blank end cell row blank equals cell fraction numerator open parentheses fraction numerator square root of 3 over denominator 4 end fraction close parentheses blank over denominator fraction numerator 4 square root of 3 over denominator 3 end fraction end fraction end cell row blank equals cell fraction numerator open parentheses fraction numerator 3 square root of 3 over denominator 4 end fraction close parentheses over denominator 4 square root of 3 end fraction end cell row blank equals cell 3 over 16 end cell end table end style$

Jadi, $begin mathsize 14px style fraction numerator sin blank 30 degree cross times cos blank 30 degree blank over denominator tan blank 60 degree plus tan space 30 degree end fraction equals 3 over 16 end style$