Pertanyaan

Diketahul segitiga ABC , AC = 6 , BC = 5 , dan ∠ A = 3 0 ∘ , maka nilai tan B adalah...

Diketahul segitiga $ABC, AC = 6, BC = 5, dan ∠ A = 3 0^{\circ}, maka nilai tan B$ adalah...

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

Dengan menggunakan aturan sinus diperoleh: Sehingga, Jadi,

Dengan menggunakan aturan sinus diperoleh:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator AC over denominator sin space straight B end fraction end cell equals cell fraction numerator BC over denominator sin space straight A end fraction end cell row cell fraction numerator 6 over denominator sin space straight B end fraction end cell equals cell fraction numerator 5 over denominator sin space 30 degree end fraction end cell row cell sin space straight B end cell equals cell 1 half cross times 6 over 5 end cell row blank equals cell 6 over 10 end cell row blank equals cell 3 over 5 end cell end table$

Sehingga,

Jadi,

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space straight B end cell equals cell fraction numerator sin space straight B over denominator cos space straight B end fraction end cell row blank equals cell fraction numerator begin display style 3 over 5 end style over denominator begin display style 4 over 5 end style end fraction end cell row blank equals cell 3 over 5 cross times 5 over 4 end cell row blank equals cell 3 over 4 end cell end table$