Iklan

Iklan

Pertanyaan

Hitunglah hasil dari: b. cos 2 22 5 ∘ tan 2 22 5 ∘ + cos 24 0 ∘ + sin 33 0 ∘ ​

Hitunglah hasil dari:

b.   

Iklan

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

.

 fraction numerator tan squared space 225 degree plus cos space 240 degree plus sin space 330 degree over denominator cos squared space 225 degree end fraction equals 0.

Iklan

Pembahasan

Perhatikan perbandingan trigonometri sudut-sudut berelasi berikut. Sehingga dapat ditentukan: Selanjutnya dapat ditentukan nilai dari: Dengan demikian, .

Perhatikan perbandingan trigonometri sudut-sudut berelasi berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space open parentheses 360 degree minus alpha close parentheses end cell equals cell negative sin space alpha end cell row cell cos space open parentheses 270 degree minus alpha close parentheses end cell equals cell negative sin space alpha end cell row cell tan space left parenthesis 270 degree minus alpha right parenthesis end cell equals cell cot space alpha end cell end table  

Sehingga dapat ditentukan:

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 225 degree end cell equals cell tan space 225 degree end cell row blank equals cell tan space open parentheses 270 degree minus 45 degree close parentheses end cell row blank equals cell cot space 45 degree end cell row blank equals cell fraction numerator cos space 45 degree over denominator sin space 45 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 2 over denominator begin display style 1 half end style square root of 2 end fraction end cell row blank equals 1 row cell cos space 240 degree end cell equals cell cos space open parentheses 270 degree minus 30 degree close parentheses end cell row blank equals cell negative sin space 30 degree end cell row blank equals cell negative 1 half end cell row cell sin space 330 degree end cell equals cell sin space open parentheses 360 degree minus 30 degree close parentheses end cell row blank equals cell negative sin space 30 degree end cell row blank equals cell negative 1 half end cell row cell cos space 225 degree end cell equals cell cos space open parentheses 270 degree minus 45 degree close parentheses end cell row blank equals cell negative sin space 45 degree end cell row blank equals cell negative 1 half square root of 2 end cell end table  

Selanjutnya dapat ditentukan nilai dari:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator tan squared space 225 degree plus cos space 240 degree plus sin space 330 degree over denominator cos squared space 225 degree end fraction end cell equals cell fraction numerator 1 squared plus open parentheses negative begin display style 1 half end style close parentheses plus open parentheses negative begin display style 1 half end style close parentheses over denominator open parentheses negative begin display style 1 half end style square root of 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 1 minus 1 over denominator begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator 0 over denominator begin display style 1 half end style end fraction end cell row blank equals 0 end table 

Dengan demikian, fraction numerator tan squared space 225 degree plus cos space 240 degree plus sin space 330 degree over denominator cos squared space 225 degree end fraction equals 0.

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)

45

Iklan

Iklan

Pertanyaan serupa

Jika sin x = a , maka pernyataan yang tidak benar adalah ....

557

5.0

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