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​)

Pertanyaan

Misalkan begin mathsize 14px style angle XOT equals alpha end style . Tentukan begin mathsize 14px style sin space alpha comma cos space alpha comma tan space alpha comma space sec space alpha comma space cosec space alpha comma space dan space cotan space alpha end style, jika diketahui X merupakaan garis sumbu X dan koordinat titik T sebagai berikut.

b. Error converting from MathML to accessible text. 

  1.  begin mathsize 14px style horizontal ellipsis end style

  2. begin mathsize 14px style horizontal ellipsis end style 

N. Putri

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Misalkan begin mathsize 14px style alpha equals 180 degree plus beta end style

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

119

4.8 (11 rating)

Samuel Hottua

Mudah dimengerti

Libby Adikusuma

Makasih ❤️

Pertanyaan serupa

Tentukan semua perbandingan trigonometri pada titik-titik berikut. c. R(-23​, -2)

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