Iklan

Pertanyaan

Himpunan penyelesaian dari persamaan trigonometri cos 2 2 x = 1 − sin 2 x pada interval 0 ≤ x ≤ 18 0 o adalah ….

Himpunan penyelesaian dari persamaan trigonometri  pada interval  adalah ….

  1. begin mathsize 14px style open curly brackets 30 to the power of straight o comma straight 45 to the power of straight o comma straight 145 to the power of straight o close curly brackets end style 

  2. begin mathsize 14px style open curly brackets 35 to the power of straight o comma straight 65 to the power of straight o comma straight 145 to the power of straight o close curly brackets end style 

  3. begin mathsize 14px style open curly brackets 0 to the power of straight o comma straight 45 to the power of straight o comma straight 85 to the power of straight o comma straight 155 to the power of straight o close curly brackets end style 

  4. begin mathsize 14px style open curly brackets 0 to the power of straight o comma straight 30 to the power of straight o comma straight 90 to the power of straight o comma straight 180 to the power of straight o close curly brackets end style 

  5. begin mathsize 14px style open curly brackets 0 to the power of straight o comma straight 45 to the power of straight o comma straight 90 to the power of straight o comma straight 180 to the power of straight o close curly brackets end style 

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

05

:

28

:

17

Klaim

Iklan

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

himpunan penyelesaiannya .

himpunan penyelesaiannya begin mathsize 14px style open curly brackets 0 to the power of straight o comma straight 45 to the power of straight o comma straight 90 to the power of straight o comma straight 180 to the power of straight o close curly brackets end style . 

Pembahasan

Sehingga diperoleh, (i) Penyelesaian: Untuk k = 0 maka Untuk k = 1 maka Untuk k = 0 maka (ii) Penyelesaian: Untuk k = 0 maka Jadi himpunan penyelesaiannya .

Error converting from MathML to accessible text.   

Sehingga diperoleh,

(i) begin mathsize 14px style sin space 2 straight x equals 0 equals sin space 0 to the power of straight o end style 

Penyelesaian:

begin mathsize 14px style 2 straight x equals 0 to the power of straight o plus 360 to the power of straight o straight k straight x equals 0 to the power of straight o plus 180 to the power of straight o straight k end style 

Untuk k = 0 maka begin mathsize 14px style straight x equals 0 degree end style 

Untuk k = 1 maka begin mathsize 14px style straight x equals 180 degree end style 

begin mathsize 14px style 2 straight x equals 180 to the power of straight o plus 360 to the power of straight o straight k straight x equals 90 to the power of straight o plus 180 to the power of straight o straight k end style 

Untuk k = 0 maka begin mathsize 14px style straight x equals 90 degree end style 

 

(ii) begin mathsize 14px style sin space 2 straight x equals 1 equals sin space 90 to the power of straight o end style 

Penyelesaian:

begin mathsize 14px style 2 straight x equals 90 to the power of straight o plus 360 to the power of straight o straight k straight x equals 45 to the power of straight o plus 180 to the power of straight o straight k end style 

Untuk k = 0 maka begin mathsize 14px style straight x equals 45 degree end style 

Jadi himpunan penyelesaiannya begin mathsize 14px style open curly brackets 0 to the power of straight o comma straight 45 to the power of straight o comma straight 90 to the power of straight o comma straight 180 to the power of straight o close curly brackets end style . 

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

3

Iklan

Pertanyaan serupa

Himpunan nilai x yang memenuhi - 2 sin 3 x + 2 = cos 2 3 x dengan 0° ≤ x ≤ 180° adalah ....

312

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

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

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