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Pertanyaan

tan 105° tan 15° = ....

tan 105° tan 15° =  ....

  1. 1

  2. begin mathsize 12px style 1 fourth end style 

  3. 0

  4. begin mathsize 12px style negative 1 fourth end style 

  5. -1

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Perhatikan bahwa Sehingga

Perhatikan bahwa

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan invisible function application 105 degree tan invisible function application 15 degree end cell equals cell fraction numerator sin invisible function application 105 degree over denominator cos invisible function application 105 degree end fraction times fraction numerator sin invisible function application 15 degree over denominator cos invisible function application 15 degree end fraction end cell row blank equals cell fraction numerator sin invisible function application 105 degree times sin invisible function application 15 degree over denominator cos invisible function application 105 degree times cos invisible function application 15 degree end fraction end cell row blank equals cell fraction numerator negative 1 half open parentheses cos invisible function application open parentheses 105 degree plus 15 degree close parentheses minus cos invisible function application open parentheses 105 degree minus 15 degree close parentheses close parentheses over denominator 1 half open parentheses cos invisible function application open parentheses 105 degree plus 15 degree close parentheses plus cos invisible function application open parentheses 105 degree minus 15 degree close parentheses close parentheses end fraction end cell row blank equals cell fraction numerator negative 1 half open parentheses cos invisible function application 120 degree minus cos invisible function application 90 degree close parentheses over denominator 1 half open parentheses cos invisible function application 120 degree plus cos invisible function application 90 degree close parentheses end fraction end cell row blank equals cell fraction numerator negative open parentheses cos invisible function application 120 degree minus cos invisible function application 90 degree close parentheses over denominator cos invisible function application 120 degree plus cos invisible function application 90 degree end fraction end cell end table end style 

Perhatikan bahwa

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos invisible function application 120 degree end cell equals cell cos invisible function application open parentheses 180 degree minus 60 degree close parentheses end cell row blank equals cell negative cos invisible function application 60 degree end cell row blank equals cell negative 1 half end cell end table end style 

Sehingga

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan invisible function application 105 degree tan invisible function application 15 degree end cell equals cell fraction numerator negative open parentheses cos invisible function application 120 degree minus cos invisible function application 90 degree close parentheses over denominator cos invisible function application 120 degree plus cos invisible function application 90 degree end fraction end cell row blank equals cell fraction numerator negative open parentheses negative 1 half minus 0 close parentheses over denominator negative 1 half plus 0 end fraction end cell row blank equals cell fraction numerator 1 half over denominator negative 1 half end fraction end cell row blank equals cell negative 1 end cell row blank blank blank end table end style 

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