Pertanyaan

Perhatikan segitiga berikut, kemudian tentukan nilai sin α , cos α , tan α , sec α , cosec α dan cotan α !

Perhatikan segitiga berikut, kemudian tentukan nilai $sin α, cos α, tan α, sec α, cosec α$ dan $cotan α$ !

P. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Kita cari sisi miring terlebih dahulu dengan menggunakan teorema Pythagoras Sekarang kita cari dan

Kita cari sisi miring terlebih dahulu dengan menggunakan teorema Pythagoras

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sisi space miring end cell equals cell square root of 9 squared plus 12 squared end root end cell row blank equals cell square root of 81 plus 144 end root end cell row blank equals cell square root of 225 end cell row blank equals 15 end table end style

Sekarang kita cari dan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight alpha end cell equals cell fraction numerator sisi space depan space sudut over denominator sisi space miring end fraction equals 9 over 15 equals 3 over 5 end cell row cell cos space straight alpha end cell equals cell fraction numerator sisi space samping space sudut over denominator sisi space miring end fraction equals 12 over 15 equals 4 over 5 end cell row cell tan space straight alpha end cell equals cell fraction numerator sisi space depan space sudut over denominator sisi space samping space sudut end fraction equals 9 over 12 equals 3 over 4 end cell row cell sec space straight alpha end cell equals cell fraction numerator 1 over denominator cos space straight alpha end fraction equals 5 over 4 end cell row cell cosec space straight alpha end cell equals cell fraction numerator 1 over denominator sin space straight alpha end fraction equals 5 over 3 end cell row cell cotan space straight alpha end cell equals cell fraction numerator 1 over denominator tan space straight alpha end fraction equals 4 over 3 end cell end table end style$