Pertanyaan

tan 6 0 ∘ sin 4 5 ∘ + cos 4 5 ∘ = ....

$\frac{sin 4 5 ^{\circ} + cos 4 5 ^{\circ}}{tan 6 0 ^{\circ}} = ....$

F. Kartikasari

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari $begin mathsize 14px style fraction numerator sin space 45 degree plus cos space 45 degree over denominator tan space 60 degree end fraction equals 1 third square root of 6 end style$ .

Pembahasan

Kita gunakan nilai perbandingan trigonometri untuk sudut-sudut istimewa. Jadi, nilai dari .

Kita gunakan nilai perbandingan trigonometri untuk sudut-sudut istimewa.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 45 degree plus cos space 45 degree over denominator tan space 60 degree end fraction end cell equals cell fraction numerator begin display style 1 half end style square root of 2 plus begin display style 1 half end style square root of 2 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 2 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 1 third square root of 6 end cell end table end style$

Jadi, nilai dari $begin mathsize 14px style fraction numerator sin space 45 degree plus cos space 45 degree over denominator tan space 60 degree end fraction equals 1 third square root of 6 end style$ .

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)