Roboguru

dengan , maka

begin mathsize 14px style tan space alpha equals 4 over 3 end style dengan begin mathsize 14px style straight pi less than alpha less than 3 over 2 straight pi end style, maka begin mathsize 14px style cos space alpha minus sin space alpha equals... end style 

Jawaban:

Ingat defenisi begin mathsize 14px style tan space a equals y over x end style. Karena begin mathsize 14px style tan space a equals 4 over 3 end style, maka begin mathsize 14px style y equals 4 space dan space x equals 3 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight r equals cell square root of straight x squared plus straight y squared end root end cell row blank equals cell square root of 3 squared plus 4 squared end root end cell row blank equals cell square root of 9 plus 16 end root end cell row blank equals cell square root of 25 end cell row blank equals 5 end table end style 

maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space a end cell equals cell x over r end cell row blank equals cell 3 over 5 end cell row cell sin space a end cell equals cell y over r end cell row blank equals cell 4 over 5 end cell end table end style 

Karena begin mathsize 14px style straight pi less than alpha less than 3 over 2 straight pi end style (kuadran 3), maka begin mathsize 14px style cos space a equals negative 3 over 5 space dan space sin space a equals negative 4 over 5 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space a minus sin space a end cell equals cell negative 3 over 5 minus open parentheses negative 4 over 5 close parentheses end cell row blank equals cell negative 3 over 5 plus 4 over 5 end cell row blank equals cell 1 fifth end cell end table end style 

Jadi begin mathsize 14px style cos space alpha minus sin space alpha equals 1 fifth end style

0

Ruangguru

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved