Pertanyaan

Perhatikan gambar berikut. Hitunglah hasil dari sin B + cos B .

Perhatikan gambar berikut.

Hitunglah hasil dari $sin B + cos B .$

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Dengan menggunakan aturan sinus Perbandingan trigonometri Denganpythagoras maka Jadi

Dengan menggunakan aturan sinus

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator B C over denominator sin space straight A end fraction end cell equals cell fraction numerator A C over denominator sin space straight B end fraction end cell row cell fraction numerator 3 over denominator sin space 60 to the power of ring operator end fraction end cell equals cell fraction numerator a over denominator sin space straight B end fraction end cell row cell fraction numerator 3 over denominator begin display style 1 half square root of 3 end style end fraction end cell equals cell fraction numerator a over denominator sin space straight B end fraction end cell row cell 3 times sin space straight B end cell equals cell 1 half straight a square root of 3 end cell row cell sin space straight B end cell equals cell 1 over 6 straight a square root of 3 end cell end table end style$

Perbandingan trigonometri $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight B end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight a square root of 3 over denominator 6 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell de over mi end cell end table end style$

Dengan pythagoras

maka $begin mathsize 14px style cos space straight B equals sa over mi equals fraction numerator square root of 36 minus 3 straight a squared end root over denominator 6 end fraction equals 1 over 6 square root of 36 minus 3 straight a squared end root end style$

Jadi