Pertanyaan

Misalkan ∠ XOT = α . Tentukan sin α , cos α , tan α , sec α , cosec α , dan cotan α , jika diketahui X merupakaan garis sumbu X dan koordinat titik T sebagai berikut. b. T ( − 5 , − 11 )

Misalkan $∠ XOT = α$ . Tentukan $sin α, cos α, tan α, sec α, cosec α, dan cotan α$ , jika diketahui X merupakaan garis sumbu X dan koordinat titik T sebagai berikut.

b. $T (- 5, - 11)$

N. Putri

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Misalkan . Maka didapat segitiga berikut. Sehingga :

Misalkan .

Maka didapat segitiga berikut.

Sehingga :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space alpha end cell equals cell sin left parenthesis 180 degree plus beta right parenthesis end cell row blank equals cell negative sin space beta end cell row blank equals cell negative fraction numerator square root of 11 over denominator 6 end fraction end cell row blank blank blank end table end style$

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c o s space alpha end cell equals cell cos left parenthesis 180 degree plus beta right parenthesis end cell row blank equals cell negative cos space beta end cell row blank equals cell negative 5 over 6 end cell row blank blank blank end table end style

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan space alpha end cell equals cell tan left parenthesis 180 degree plus beta right parenthesis end cell row blank equals cell tan space beta end cell row blank equals cell fraction numerator square root of 11 over denominator 5 end fraction end cell row blank blank blank end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell s e c space alpha end cell equals cell fraction numerator 1 over denominator cos space alpha end fraction end cell row blank equals cell negative 6 over 5 end cell end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos e c space alpha end cell equals cell fraction numerator 1 over denominator sin space alpha end fraction end cell row blank equals cell negative fraction numerator 6 over denominator square root of 11 end fraction end cell end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c o tan space alpha end cell equals cell fraction numerator 1 over denominator tan space alpha end fraction end cell row blank equals cell fraction numerator 5 over denominator square root of 11 end fraction space. end cell end table end style$