Pertanyaan

nilai

nilai $fraction numerator size 14px sin size 14px space size 14px 150 size 14px degree size 14px space size 14px plus size 14px sin size 14px space size 14px 120 size 14px degree over denominator size 14px cos size 14px space size 14px 210 size 14px degree size 14px minus size 14px cos size 14px space size 14px 300 size 14px degree end fraction size 14px equals size 14px. size 14px. size 14px.$

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat: Jadi

Ingat:

begin mathsize 14px style sin space left parenthesis 180 degree minus A right parenthesis equals sin space A cos space left parenthesis 180 degree plus A right parenthesis equals negative cos space A cos space left parenthesis 360 degree minus A right parenthesis equals cos space A end style

Jadi

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 150 degree plus sin space 120 degree over denominator cos space 210 degree minus cos space 300 degree end fraction end cell equals cell fraction numerator sin space left parenthesis 180 degree minus 30 degree right parenthesis plus sin space left parenthesis 180 degree minus 60 degree right parenthesis over denominator cos space left parenthesis 180 degree plus 30 degree right parenthesis minus cos space left parenthesis 360 degree minus 60 degree right parenthesis end fraction end cell row blank equals cell fraction numerator sin space 30 degree plus sin space 60 degree over denominator negative cos space 30 degree minus cos space 60 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half plus 1 half square root of 3 end style over denominator negative begin display style 1 half end style square root of 3 minus begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator begin display style 1 half plus 1 half square root of 3 end style over denominator negative open parentheses begin display style 1 half end style square root of 3 plus begin display style 1 half end style close parentheses end fraction end cell row blank equals cell negative 1 end cell end table$