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Nilai

Nilai begin mathsize 14px style fraction numerator sin space 150 degree plus cos space 120 degree over denominator cos space 210 degree minus cos space 300 degree end fraction equals.... end style 

  1. begin mathsize 14px style negative 1 end style 

  2. begin mathsize 14px style 2 end style 

  3. begin mathsize 14px style 0 end style 

  4. begin mathsize 14px style 1 end style 

  5. begin mathsize 14px style negative 1 half end style 

Jawaban:

Dengan menggunakan konsep sudut berelasi pada trigonometri.

begin mathsize 14px style fraction numerator sin space 150 degree plus cos space 120 degree over denominator cos space 210 degree minus cos space 300 degree end fraction equals fraction numerator sin space open parentheses 180 degree minus 30 degree close parentheses plus cos space open parentheses 180 degree minus 60 degree close parentheses over denominator cos space open parentheses 180 degree plus 30 degree close parentheses minus cos space open parentheses 360 degree minus 60 degree close parentheses end fraction equals fraction numerator sin space 30 degree minus cos space 60 degree over denominator negative cos space 30 degree minus cos 60 degree space end fraction equals fraction numerator begin display style 1 half end style minus begin display style 1 half end style over denominator negative begin display style 1 half end style square root of 3 minus begin display style 1 half end style end fraction equals 0 end style 

Nilai, begin mathsize 14px style fraction numerator sin space 150 degree plus cos space 120 degree over denominator cos space 210 degree minus cos space 300 degree end fraction equals 0 end style 

Jadi, jawaban yang tepat adalah C.

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