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Pertanyaan

sin 19 5 ∘ = ...

 

  1. begin mathsize 14px style 1 half open parentheses square root of 6 minus square root of 2 close parentheses end style 

  2.  begin mathsize 14px style 1 half open parentheses square root of 2 minus square root of 6 close parentheses end style 

  3. undefined 

  4. begin mathsize 14px style 1 fourth open parentheses square root of 2 plus square root of 6 close parentheses end style 

  5. begin mathsize 14px style 1 fourth open parentheses square root of 2 minus square root of 6 close parentheses end style 

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M. Robo

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Jawaban terverifikasi

Pembahasan

Ingat bahwa Ingat bahwa Sehingga Perhatikan pula bahwa 195° = 240° - 45° . Sehingga Ingat bahwa Sehingga Perhatikan bahwa menggunakan 195° = 150° + 45° ataupun 195° = 240° - 45° , didapatkan hasil yang sama, yaitu

Ingat bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application open parentheses A plus B close parentheses end cell equals cell sin invisible function application A cos invisible function application B plus cos invisible function application A sin invisible function application B end cell row cell sin invisible function application open parentheses A minus B close parentheses end cell equals cell sin invisible function application A cos invisible function application B minus cos invisible function application A sin invisible function application B end cell row blank blank blank row cell K a r e n a space 195 degree end cell equals cell 150 degree plus 45 degree comma space m a k a end cell row cell sin invisible function application 195 degree end cell equals cell sin invisible function application open parentheses 150 degree plus 45 degree close parentheses end cell row blank equals cell sin invisible function application 150 degree cos invisible function application 45 degree plus cos invisible function application 150 degree sin invisible function application 45 degree end cell row blank equals cell sin invisible function application open parentheses 180 degree minus 30 degree close parentheses cos invisible function application 45 degree plus cos invisible function application open parentheses 180 degree minus 30 degree close parentheses sin invisible function application 45 degree end cell end table end style 

Ingat bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application open parentheses 180 degree minus x close parentheses end cell equals cell sin invisible function application x end cell row cell cos invisible function application left parenthesis 180 degree minus x right parenthesis end cell equals cell negative cos invisible function application x end cell end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application 195 degree end cell equals cell sin invisible function application 30 degree cos invisible function application 45 degree plus open parentheses negative cos invisible function application 30 degree close parentheses sin invisible function application 45 degree end cell row blank equals cell 1 half times 1 half square root of 2 minus 1 half square root of 3 times 1 half square root of 2 end cell row blank equals cell 1 fourth square root of 2 minus 1 fourth square root of 6 end cell row blank equals cell 1 fourth open parentheses square root of 2 minus square root of 6 close parentheses end cell row blank blank blank row blank blank blank end table end style 

Perhatikan pula bahwa 195° = 240° - 45°. Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application 195 degree end cell equals cell sin invisible function application open parentheses 240 degree minus 45 degree close parentheses end cell row blank equals cell sin invisible function application 240 degree cos invisible function application 45 degree minus cos invisible function application 240 degree sin invisible function application 45 degree end cell row blank equals cell sin invisible function application open parentheses 180 degree plus 60 degree close parentheses cos invisible function application 45 degree minus cos invisible function application open parentheses 180 degree plus 60 degree close parentheses sin invisible function application 45 degree end cell end table end style 

Ingat bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application open parentheses 180 degree plus x close parentheses end cell equals cell negative sin invisible function application x end cell row cell cos invisible function application open parentheses 180 degree plus x close parentheses end cell equals cell negative cos invisible function application x end cell end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application 195 degree end cell equals cell open parentheses negative sin invisible function application 60 degree close parentheses cos invisible function application 45 degree minus open parentheses negative cos invisible function application 60 degree close parentheses sin invisible function application 45 degree end cell row blank equals cell open parentheses negative 1 half square root of 3 close parentheses times 1 half square root of 2 plus 1 half times 1 half square root of 2 end cell row blank equals cell negative 1 fourth square root of 6 plus 1 fourth square root of 2 end cell row blank equals cell 1 fourth open parentheses negative square root of 6 plus square root of 2 close parentheses end cell row blank equals cell 1 fourth open parentheses square root of 2 minus square root of 6 close parentheses end cell row blank blank blank end table end style 

 

Perhatikan bahwa menggunakan 195° = 150° + 45° ataupun 195° = 240° - 45°, didapatkan hasil yang sama, yaitu begin mathsize 14px style sin invisible function application 195 degree equals 1 fourth open parentheses square root of 2 minus square root of 6 close parentheses end style 

 

 

 

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