Roboguru
SD
SMP
SMA
UTBK/SNBT

Iklan

Iklan

Pertanyaan

Tunjukkan bahwa 8 sin 2 0 ∘ ⋅ sin 4 0 ∘ ⋅ sin 8 0 ∘ = 3 ​ .

Tunjukkan bahwa .

Ke roboguru plus

Iklan

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

terbukti bahwa .

terbukti bahwa 8 space sin space 20 degree times sin space 40 degree times sin space 80 degree equals square root of 3.

Iklan

Pembahasan

Ingat kembali: Akan dibuktikan . Maka: Jadi, terbukti bahwa .

Ingat kembali:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 space sin space straight alpha space sin space straight beta end cell equals cell negative cos space open parentheses straight alpha plus straight beta close parentheses plus cos space open parentheses straight alpha minus straight beta close parentheses end cell row cell 2 space cos space straight alpha space sin space straight beta end cell equals cell sin space open parentheses straight alpha plus straight beta close parentheses minus sin space open parentheses straight alpha minus straight beta close parentheses end cell end table 

Akan dibuktikan 8 space sin space 20 degree times sin space 40 degree times sin space 80 degree equals square root of 3. Maka:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell Ruas space kiri end cell equals cell 8 space sin space 20 degree times sin space 40 degree times sin space 80 degree end cell row blank equals cell 4 times 2 times sin space 20 degree times sin space 40 degree times sin space 80 degree end cell row blank equals cell open parentheses 4 space sin space 20 degree close parentheses open parentheses 2 times sin space 80 degree times sin space 40 degree close parentheses end cell row blank equals cell open parentheses 4 space sin space 20 degree close parentheses open parentheses negative cos space open parentheses 80 degree plus 40 degree close parentheses plus cos space open parentheses 80 degree minus 40 degree close parentheses close parentheses end cell row blank equals cell open parentheses 4 space sin space 20 degree close parentheses open parentheses negative cos space 120 degree plus cos space 40 degree close parentheses end cell row blank equals cell open parentheses 4 space sin space 20 degree close parentheses open parentheses negative open parentheses negative 1 half close parentheses plus cos space 40 degree close parentheses end cell row blank equals cell open parentheses 4 space sin space 20 degree close parentheses open parentheses 1 half plus cos space 40 degree close parentheses end cell row blank equals cell 2 space sin space 20 degree plus 4 times sin space 20 degree times cos space 40 degree end cell row blank equals cell 2 space sin space 20 degree plus 2 times 2 times sin space 20 degree times cos space 40 degree end cell row blank equals cell 2 space sin space 20 degree plus 2 times open parentheses 2 times cos space 40 degree times sin space 20 degree close parentheses end cell row blank equals cell 2 space sin space 20 degree plus 2 open parentheses sin space open parentheses 40 degree plus 20 degree close parentheses minus sin space open parentheses 40 degree minus 20 degree close parentheses close parentheses end cell row blank equals cell 2 space sin space 20 degree plus 2 open parentheses sin space 60 degree minus sin space 20 degree close parentheses end cell row blank equals cell 2 space sin space 20 degree plus 2 open parentheses 1 half square root of 3 minus sin space 20 degree close parentheses end cell row blank equals cell up diagonal strike 2 space sin space 20 degree end strike plus square root of 3 up diagonal strike negative 2 space sin space 20 degree end strike end cell row blank equals cell square root of 3 end cell end table end style 

Jadi, terbukti bahwa 8 space sin space 20 degree times sin space 40 degree times sin space 80 degree equals square root of 3.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

1

Ahmad munsif f

Makasih ❤️

Iklan

Iklan

Gold Icon

Klaim Gold gratis sekarang!

Dengan Gold kamu bisa tanya soal ke Forum sepuasnya, lho.

Pertanyaan serupa

Perhatikan pernyataan berikut. i) 2 ⋅ sin 4 0 ∘ cos 2 0 ∘ = sin 3 0 ∘ + sin 2 0 ∘ ii) 2 cos 5 0 ∘ ⋅ sin 7 0 ∘ = sin 12 0 ∘ + sin 2 0 ∘ iii) 2 ⋅ sin 7 0 ∘ ⋅ sin 1 0 ∘ = − cos 8 0 ∘ + cos 6 0 ∘...

6

4.6

Jawaban terverifikasi

Nilai ekspresi trigonometri 8 sin 1 0 ∘ ⋅ sin 5 0 ∘ ⋅ sin 7 0 ∘ sama dengan . . . .

5

3.6

Jawaban terverifikasi

Iklan

Iklan

tan 20 ⋅ tan 40 ⋅ tan 80 = ....

18

5.0

Jawaban terverifikasi

Nilai ekspresi dari 16 sin 2 0 ∘ ⋅ sin 4 0 ∘ ⋅ sin 8 0 ∘ adalah . . . .

4

5.0

Jawaban terverifikasi

sin 2 3 x sin 5 x sama dengan ... .

2

3.5

Jawaban terverifikasi
Ruangguru

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Download di Google Play

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Bantuan & Panduan

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia