Jika tanA=512​ dan A−B=225∘,  maka tan B=....

Pertanyaan

Jika begin mathsize 14px style tan invisible function application A equals 12 over 5 end style dan begin mathsize 14px style straight A minus straight B equals 225 degree end style,  maka begin mathsize 14px style tan space B equals end style....

  1. begin mathsize 14px style 7 over 17 end style 

  2. begin mathsize 14px style 17 over 7 end style 

  3. begin mathsize 14px style 10 over 17 end style 

  4. begin mathsize 14px style 17 over 10 end style 

  5. begin mathsize 14px style 7 over 10 end style 

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Ingat bahwa

begin mathsize 14px style tan invisible function application open parentheses A minus B close parentheses equals fraction numerator tan invisible function application A minus tan invisible function application B over denominator 1 plus tan invisible function application A tan invisible function application B end fraction end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan invisible function application open parentheses A minus B close parentheses end cell equals cell fraction numerator tan invisible function application A minus tan invisible function application B over denominator 1 plus tan invisible function application A tan invisible function application B end fraction end cell row cell tan invisible function application 225 degree end cell equals cell fraction numerator 12 over 5 minus tan invisible function application B over denominator 1 plus 12 over 5 times tan invisible function application B end fraction end cell row cell tan invisible function application open parentheses 180 degree plus 45 degree close parentheses end cell equals cell fraction numerator 12 over 5 minus tan invisible function application B over denominator 1 plus 12 over 5 times tan invisible function application B end fraction end cell row blank blank blank row blank blank blank row blank blank blank end table end style 

Ingat bahwa tan(180° + x) tan x , sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan invisible function application open parentheses 180 degree plus 45 degree close parentheses end cell equals cell fraction numerator 12 over 5 minus tan invisible function application B over denominator 1 plus 12 over 5 times tan invisible function application B end fraction end cell row cell tan invisible function application 45 degree end cell equals cell fraction numerator 12 over 5 minus tan invisible function application B over denominator 1 plus 12 over 5 times tan invisible function application B end fraction end cell row 1 equals cell fraction numerator 12 over 5 minus tan invisible function application B over denominator 1 plus 12 over 5 times tan invisible function application B end fraction end cell row cell 1 plus 12 over 5 times tan invisible function application B end cell equals cell 12 over 5 minus tan invisible function application B end cell row cell 5 plus 12 tan invisible function application B end cell equals cell 12 minus 5 tan invisible function application B end cell row cell 12 tan invisible function application B plus 5 tan invisible function application B end cell equals cell 12 minus 5 end cell row cell 17 tan invisible function application B end cell equals 7 row cell tan invisible function application B end cell equals cell 7 over 17 end cell end table end style 

Jadi, jawaban yang tepat adalah A.

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Diketahui 0° < α < 180°. Jika tanα=1+tan14∘1−tan14∘​, maka α =  ....

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