Iklan

Iklan

Pertanyaan

Tentukan semua perbandingan trigonometri pada titik-titik berikut. c. R(-2 3 ​ ,-2 )

Tentukan semua perbandingan trigonometri pada titik-titik berikut.

c.  

Iklan

D. Enty

Master Teacher

Jawaban terverifikasi

Jawaban

nilai cotan R= .

nilai cotan R = square root of 3.

Iklan

Pembahasan

Pembahasan
lock

Menentukan panjang Menentukan sin R Jadi, nilai sin R= . Menentukan cos R Jadi, nilai cos R= . Menentukan tan R Jadi, nilai tan R= . Menentukan sec R Jadi, nilai sec R= . Menentukan cosec R Jadi, nilai cosec R= . Menentukan cotan R Jadi, nilai cotan R= .

Menentukan panjang r

table attributes columnalign right center left columnspacing 0px end attributes row r equals cell square root of x squared plus y squared end root end cell row blank equals cell square root of left parenthesis negative 2 square root of 3 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root end cell row blank equals cell square root of 12 plus 4 end root end cell row blank equals cell square root of 16 end cell row blank equals 4 end table 

Menentukan sin R

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space text R end text end cell equals cell y over r end cell row blank equals cell fraction numerator negative 2 over denominator 4 end fraction end cell row blank equals cell negative 1 half end cell end table 

Jadi, nilai sin R = negative 1 half.

Menentukan cos R

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space text R end text end cell equals cell x over r end cell row blank equals cell fraction numerator negative 2 square root of 3 over denominator 4 end fraction end cell row blank equals cell negative 1 half square root of 3 end cell end table 

Jadi, nilai cos R = negative 1 half square root of 3.

Menentukan tan R

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space text R end text end cell equals cell y over x end cell row blank equals cell fraction numerator negative 2 over denominator negative 2 square root of 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 1 third square root of 3 end cell end table 

Jadi, nilai tan R = 1 third square root of 3.

Menentukan sec R

table attributes columnalign right center left columnspacing 0px end attributes row cell sec space text R end text end cell equals cell fraction numerator 1 over denominator cos space R end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style negative fraction numerator square root of 3 over denominator 2 end fraction end style end fraction end cell row blank equals cell negative fraction numerator 2 over denominator square root of 3 end fraction end cell row blank equals cell negative fraction numerator 2 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell negative 2 over 3 square root of 3 end cell end table 

Jadi, nilai sec R = negative 2 over 3 square root of 3.

Menentukan cosec R

table attributes columnalign right center left columnspacing 0px end attributes row cell cosec space text R end text end cell equals cell fraction numerator 1 over denominator sin space text R end text end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 half end fraction end cell row blank equals cell negative 2 over 1 end cell row blank equals cell negative 2 end cell end table 

Jadi, nilai cosec R = negative 2.

Menentukan cotan R

table attributes columnalign right center left columnspacing 0px end attributes row cell cotan space text R end text end cell equals cell fraction numerator 1 over denominator tan space text R end text end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 3 over 3 square root of 3 end cell row blank equals cell square root of 3 end cell end table 

Jadi, nilai cotan R = square root of 3.

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

1

Eka Yanti

Ini yang aku cari!

Iklan

Iklan

Pertanyaan serupa

Jika didalam sebuah segitigasiku-siku A BC diketahui nilai tan A = 6 ​ , maka tentukanlah nilai sin A , cos A , sec A , cosc A , dan cot A .

2

4.6

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