Pertanyaan

Nilai tan 13 5 ∘ cos 15 0 ∘ + sin 21 0 ∘ = ....

Nilai $\frac{cos 15 0 ^{\circ} + sin 21 0 ^{\circ}}{tan 13 5 ^{\circ}} = ....$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

.

$fraction numerator cos space 150 degree plus sin space 210 degree over denominator tan space 135 degree end fraction$ equals 1 half open parentheses square root of 3 plus 1 close parentheses

equals 1 half open parentheses square root of 3 plus 1 close parentheses

Pembahasan

Rumus trigonometri untuk sudut-sudut berelasi Nilai adalah Jadi, .

Rumus trigonometri untuk sudut-sudut berelasi

Nilai $fraction numerator cos space 150 degree plus sin space 210 degree over denominator tan space 135 degree end fraction$ adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos space 150 degree plus sin space 210 degree over denominator tan space 135 degree end fraction end cell equals cell fraction numerator cos space open parentheses 180 minus sign 30 close parentheses degree plus sin space open parentheses 180 plus 30 close parentheses degree over denominator tan space open parentheses 180 minus sign 45 close parentheses degree end fraction end cell row blank equals cell fraction numerator negative sign cos space 30 degree minus sign sin space 30 degree over denominator negative sign tan space 45 degree end fraction end cell row blank equals cell fraction numerator negative sign begin display style fraction numerator square root of 3 over denominator 2 end fraction end style minus sign begin display style 1 half end style over denominator negative sign 1 end fraction end cell row blank equals cell fraction numerator square root of 3 over denominator 2 end fraction plus 1 half end cell row blank equals cell 1 half open parentheses square root of 3 plus 1 close parentheses end cell end table$

Jadi, $fraction numerator cos space 150 degree plus sin space 210 degree over denominator tan space 135 degree end fraction$ equals 1 half open parentheses square root of 3 plus 1 close parentheses .