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Pertanyaan

sin x + sin y sin ( x + y ) sin ( x − y ) ​ = ....

.... 

  1. cos cos y

  2. cos cos x

  3. sin sin y

  4. sin sin x

  5. sin sin y

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M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

jawaban yang tepat adalah C.

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Pembahasan

Perhatikan bahwa Ingat bahwa Sehingga Maka Jadi, jawaban yang tepat adalah C.

Perhatikan bahwa

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell sin invisible function application open parentheses x plus y close parentheses sin invisible function application open parentheses x minus y close parentheses end cell row blank equals cell negative 1 half open parentheses cos invisible function application open parentheses open parentheses x plus y close parentheses plus open parentheses x minus y close parentheses close parentheses minus cos invisible function application open parentheses open parentheses x plus y close parentheses minus open parentheses x minus y close parentheses close parentheses close parentheses end cell row blank equals cell negative 1 half open parentheses cos invisible function application 2 x minus cos invisible function application 2 y close parentheses end cell row blank blank blank end table end style 

Ingat bahwa

begin mathsize 12px style cos invisible function application 2 A equals 1 minus 2 sin squared invisible function application A end style 

Sehingga

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell sin invisible function application open parentheses x plus y close parentheses sin invisible function application open parentheses x minus y close parentheses end cell row blank equals cell negative 1 half open parentheses cos invisible function application 2 x minus cos invisible function application 2 y close parentheses end cell row blank equals cell negative 1 half open parentheses open parentheses 1 minus 2 sin squared invisible function application x close parentheses minus open parentheses 1 minus 2 sin squared invisible function application y close parentheses close parentheses end cell row blank equals cell negative 1 half open parentheses negative 2 sin squared invisible function application x plus 2 sin squared invisible function application y close parentheses end cell row blank equals cell sin squared invisible function application x minus sin squared invisible function application y end cell row blank blank blank end table end style 

Maka

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin invisible function application open parentheses x plus y close parentheses sin invisible function application open parentheses x minus y close parentheses over denominator sin invisible function application x plus sin invisible function application y end fraction end cell equals cell fraction numerator sin squared invisible function application x minus sin squared invisible function application y over denominator sin invisible function application x plus sin invisible function application y end fraction end cell row blank equals cell fraction numerator open parentheses sin invisible function application x plus sin invisible function application y close parentheses open parentheses sin invisible function application x minus sin invisible function application y close parentheses over denominator sin invisible function application x plus sin invisible function application y end fraction end cell row blank equals cell sin invisible function application x minus sin invisible function application y end cell end table end style 

Jadi, jawaban yang tepat adalah C.

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cos x − cos y sin ( x + y ) sin ( x − y ) ​ = ....

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