Iklan

Iklan

Pertanyaan

Buktikan: a. sin ( a + b ) sin ( a − b ) = sin 2 a − sin 2 b

Buktikan:

a.  

Iklan

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

terbukti bahwa .

terbukti bahwa sin space open parentheses a plus b close parentheses space sin space open parentheses a minus b close parentheses equals sin squared space a minus sin squared space b.

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 cos space 2 straight A end cell equals cell cos squared space straight A minus sin squared space straight A end cell row blank equals cell 1 minus 2 space sin squared space straight A end cell row blank equals cell 2 space cos squared space straight A minus 1 end cell end table 

Akan dibuktikan sin space open parentheses a plus b close parentheses space sin space open parentheses a minus b close parentheses equals sin squared space a minus sin squared space b. Maka:

 table attributes columnalign right center left columnspacing 0px end attributes row cell Ruas space kiri end cell equals cell sin space open parentheses a plus b close parentheses space sin space open parentheses a minus b close parentheses end cell row blank equals cell 1 half times 2 times sin space open parentheses a plus b close parentheses space sin space open parentheses a minus b close parentheses end cell row blank equals cell 1 half times open parentheses 2 times sin space open parentheses a plus b close parentheses space sin space open parentheses a minus b close parentheses close parentheses end cell row blank equals cell 1 half open square brackets negative cos space open parentheses open parentheses a plus b close parentheses plus open parentheses a minus b close parentheses close parentheses plus cos space open parentheses open parentheses a plus b close parentheses minus open parentheses a minus b close parentheses close parentheses close square brackets end cell row blank equals cell 1 half open square brackets negative cos space open parentheses a plus b plus a minus b close parentheses plus cos space open parentheses a plus b minus a plus b close parentheses close square brackets end cell row blank equals cell 1 half open parentheses negative cos space 2 a plus cos space 2 b close parentheses end cell row blank equals cell 1 half open parentheses negative open parentheses 1 minus 2 space sin squared space a close parentheses plus open parentheses 1 minus 2 space sin squared space b close parentheses close parentheses end cell row blank equals cell 1 half open parentheses up diagonal strike negative 1 end strike plus 2 space sin squared space a up diagonal strike plus 1 end strike minus 2 space sin squared space b close parentheses end cell row blank equals cell 1 half open parentheses 2 space sin squared space a minus 2 space sin squared space b close parentheses end cell row blank equals cell sin squared space a minus sin squared space b end cell end table 

Jadi, terbukti bahwa sin space open parentheses a plus b close parentheses space sin space open parentheses a minus b close parentheses equals sin squared space a minus sin squared space b.

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

5

adelia safitri

Pembahasan lengkap banget Ini yang aku cari! Mudah dimengerti Makasih ❤️ Bantu banget

Iklan

Iklan

Pertanyaan serupa

Gunakan rumus 2 sin α sin β = cos ( α − β ) − cos ( α + β ) untuk membuktikan: .

7

0.0

Jawaban terverifikasi

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

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