Pertanyaan

Bentuk sederhana dari cos ( x + y ) − cos ( x − y ) sin ( x + y ) − sin ( x − y ) adalah ....

Bentuk sederhana dari $\frac{sin ( x + y ) - sin ( x - y )}{cos ( x + y ) - cos ( x - y )}$ adalah ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Perhatikan operasi hitung berikut ini! Jadi, jawaban yang tepat adalah D.

Perhatikan operasi hitung berikut ini!

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin invisible function application left parenthesis straight x plus straight y right parenthesis minus sin invisible function application left parenthesis straight x minus straight y right parenthesis over denominator cos invisible function application left parenthesis straight x plus straight y right parenthesis minus cos invisible function application left parenthesis straight x minus straight y right parenthesis end fraction end cell end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 space cos begin display style open parentheses fraction numerator begin display style left parenthesis straight x plus straight y right parenthesis plus left parenthesis straight x minus straight y right parenthesis end style over denominator begin display style 2 end style end fraction close parentheses times end style sin begin display style open parentheses fraction numerator begin display style left parenthesis straight x plus straight y right parenthesis minus left parenthesis straight x minus straight y right parenthesis end style over denominator begin display style 2 end style end fraction close parentheses end style over denominator negative 2 space sin begin display style open parentheses fraction numerator begin display style left parenthesis straight x plus straight y right parenthesis plus left parenthesis straight x minus straight y right parenthesis end style over denominator begin display style 2 end style end fraction close parentheses times end style sin begin display style open parentheses fraction numerator begin display style left parenthesis straight x plus straight y right parenthesis minus left parenthesis straight x minus straight y right parenthesis end style over denominator begin display style 2 end style end fraction close parentheses end style 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 fraction numerator 2 cos begin display style open parentheses fraction numerator begin display style 2 straight x end style over denominator begin display style 2 end style end fraction close parentheses times end style sin begin display style open parentheses fraction numerator begin display style 2 straight y end style over denominator begin display style 2 end style end fraction close parentheses end style over denominator negative 2 sin begin display style open parentheses fraction numerator begin display style 2 straight x end style over denominator begin display style 2 end style end fraction close parentheses end style times sin begin display style open parentheses fraction numerator begin display style 2 straight y end style over denominator begin display style 2 end style end fraction close parentheses end style end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 space cos invisible function application straight x space space sin invisible function application straight y space over denominator negative 2 space sin invisible function application straight x space space sin invisible function application straight y end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator cos invisible function application straight x over denominator space sin invisible function application straight x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cot end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank invisible function application end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight x end table$

Jadi, jawaban yang tepat adalah D.