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Tentukan 5 nilai perbandingan trigonometri yang lain untuk setiap pernyataan berikut ini. 4 sin α = 2 , 2 π < α < π

Tentukan $5$ nilai perbandingan trigonometri yang lain untuk setiap pernyataan berikut ini.

$4 sin α = 2$ , $\frac{π}{2} < α < π$

F. Ayudhita

Master Teacher

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Ingat , sudut berada di kuadran II Mencari nilai : Jadi

Ingat , sudut berada di kuadran II

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 space sin space straight alpha end cell equals 2 row cell sin space straight alpha end cell equals cell 1 half equals straight y over straight r end cell end table end style

Mencari nilai :

Jadi

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x over r end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator negative square root of 3 over denominator 2 end fraction end cell equals cell negative 1 half square root of 3 end cell end table end style$
$begin mathsize 14px style tan table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell y over x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator negative square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell equals cell negative 1 third square root of 3 end cell end table end style$
$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank co end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank tan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x over y end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator negative square root of 3 over denominator 1 end fraction end cell equals cell negative square root of 3 end cell end table end style$
$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank sec end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell r over x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 over denominator negative square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell equals cell negative 2 over 3 square root of 3 end cell end table end style$