Iklan

Iklan

Pertanyaan

Hitunglah nilai dari 3 ( tan 6 0 ∘ − tan 30 0 ∘ ) 2 ( sin 12 0 ∘ + cos 15 0 ∘ ) ​ = ...

Hitunglah nilai dari  ...

Iklan

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari begin mathsize 14px style fraction numerator 2 space open parentheses sin space 120 degree plus cos space 150 degree close parentheses over denominator 3 space open parentheses tan space 60 degree minus tan space 300 degree close parentheses end fraction equals end stylebegin mathsize 14px style 0 end style.

Iklan

Pembahasan

Diketahui: Operasi sudut trigonometri. Ingatlah kembali rumus Perbandingan Trigonometri Sudut-sudut Berelasi, yaitu: Diperoleh: Kemudian operasikan sudut-sudut trigonometrinya seperti berikut: Jadi, nilai dari .

Diketahui:

Operasi sudut trigonometri.

Ingatlah kembali rumus Perbandingan Trigonometri Sudut-sudut Berelasi, yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell table attributes columnalign left center right end attributes row cell cos open parentheses 90 degree plus alpha close parentheses end cell equals cell negative sin space alpha end cell row cell sin open parentheses 180 degree minus alpha close parentheses end cell equals cell sin space alpha end cell row cell tan open parentheses 360 degree minus alpha close parentheses end cell equals cell negative tan space alpha end cell end table end cell end table end style

Diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 120 degree end cell equals cell sin open parentheses 180 degree minus 60 degree close parentheses end cell row blank equals cell sin space 60 degree end cell row blank equals cell 1 half square root of 3 end cell row blank blank blank row cell cos space 150 degree end cell equals cell cos open parentheses 90 degree plus 60 degree close parentheses end cell row blank equals cell negative sin space 60 degree end cell row blank equals cell negative 1 half square root of 3 end cell row blank blank blank row cell tan space 60 degree end cell equals cell square root of 3 end cell row blank blank blank row cell tan space 300 degree end cell equals cell tan open parentheses 360 degree minus 60 degree close parentheses end cell row blank equals cell negative tan space 60 degree end cell row blank equals cell negative square root of 3 end cell end table end style 

Kemudian operasikan sudut-sudut trigonometrinya seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 space open parentheses sin space 120 degree plus cos space 150 degree close parentheses over denominator 3 space open parentheses tan space 60 degree minus tan space 300 degree close parentheses end fraction end cell equals cell fraction numerator 2 open parentheses begin display style 1 half end style square root of 3 plus open parentheses negative begin display style 1 half end style square root of 3 close parentheses close parentheses over denominator 3 open parentheses square root of 3 minus open parentheses negative square root of 3 close parentheses close parentheses end fraction end cell row blank equals cell fraction numerator 2 open parentheses 0 close parentheses over denominator 3 open parentheses square root of 3 plus square root of 3 close parentheses end fraction end cell row blank equals cell fraction numerator 0 over denominator 3 open parentheses 2 square root of 3 close parentheses end fraction end cell row blank equals 0 end table end style

Jadi, nilai dari begin mathsize 14px style fraction numerator 2 space open parentheses sin space 120 degree plus cos space 150 degree close parentheses over denominator 3 space open parentheses tan space 60 degree minus tan space 300 degree close parentheses end fraction equals end stylebegin mathsize 14px style 0 end style.

36

Iklan

Iklan

Pertanyaan serupa

sec ( θ − 2 π ) ⋅ sin ( 54 0 ∘ + θ ) ⋅ cot ( θ − 9 0 ∘ ) cos ( 9 0 ∘ + θ ) ⋅ sec ( 2 π − θ ) ⋅ tan ( π − θ ) ​ = ....

62

0.0

Jawaban terverifikasi

Iklan

Iklan

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

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia