Pertanyaan

Tentukan hasil dari cos ( 26 1 ∘ − x ) + sin ( 27 9 ∘ + x ) cos ( 9 9 ∘ + x ) − sin ( 8 1 ∘ − x ) = …

Tentukan hasil dari $\frac{cos ( 9 9 ^{\circ} + x ) - sin ( 8 1 ^{\circ} - x )}{cos ( 26 1 ^{\circ} - x ) + sin ( 27 9 ^{\circ} + x )} = \dots$

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S. Nur

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Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos open parentheses 99 degree plus x close parentheses minus sin left parenthesis 81 degree minus x right parenthesis over denominator cos open parentheses 261 degree minus x close parentheses plus sin left parenthesis 279 degree plus x right parenthesis end fraction end cell equals cell fraction numerator cos open parentheses 90 degree plus 9 degree plus x close parentheses minus sin left parenthesis 90 degree minus 9 degree minus x right parenthesis over denominator cos open parentheses 270 degree minus 9 degree minus x close parentheses plus sin left parenthesis 270 degree plus 9 degree plus x right parenthesis end fraction end cell row blank equals cell fraction numerator cos open parentheses 90 degree plus left parenthesis 9 degree plus x right parenthesis close parentheses minus sin left parenthesis 90 degree minus left parenthesis 9 degree plus x right parenthesis right parenthesis over denominator cos open parentheses 270 degree minus left parenthesis 9 degree plus x right parenthesis close parentheses plus sin left parenthesis 270 degree plus left parenthesis 9 degree plus x right parenthesis right parenthesis end fraction end cell row blank equals cell fraction numerator negative sin open parentheses 9 degree plus x close parentheses minus cos left parenthesis 9 degree plus x right parenthesis over denominator negative sin open parentheses 9 degree plus x close parentheses minus cos left parenthesis 9 degree plus x right parenthesis end fraction end cell row blank equals 1 end table end style$