Pertanyaan

Bentuk trigonometri tan ( 99 0 ∘ + x ) sin ( 45 0 ∘ + x ) cos ( 63 0 ∘ − x ) dinyatakan dalam sudut x menjadi ....

Bentuk trigonometri $\frac{sin ( 45 0 ^{\circ} + x ) cos ( 63 0 ^{\circ} - x )}{tan ( 99 0 ^{\circ} + x )}$ dinyatakan dalam sudut x menjadi ....

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin left parenthesis 450 degree plus x right parenthesis times cos left parenthesis 630 degree minus x right parenthesis over denominator tan left parenthesis 990 degree plus x right parenthesis end fraction end cell equals cell fraction numerator sin left parenthesis 360 degree plus 90 degree plus x right parenthesis times cos left parenthesis 360 degree plus 270 degree minus x right parenthesis right parenthesis over denominator tan left parenthesis 2 times 360 degree plus 270 degree plus x right parenthesis end fraction end cell row blank equals cell fraction numerator sin left parenthesis 90 degree plus x right parenthesis times cos left parenthesis 270 degree minus x right parenthesis over denominator tan left parenthesis 270 degree plus x right parenthesis end fraction end cell row blank equals cell fraction numerator cos space x space minus sin space x over denominator negative c o t space x end fraction end cell row blank equals cell fraction numerator cos space x minus sin space x over denominator negative begin display style fraction numerator cos space x over denominator sin space x end fraction end style end fraction end cell row blank equals cell negative sin space x plus sin space x times tan space x space. end cell end table end style$