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Nilai dari adalah ...

Nilai dari begin mathsize 14px style cos space 75 degree minus sin space 165 degree end style adalah ...

  1. begin mathsize 14px style 1 fourth square root of 2 end style  

  2. begin mathsize 14px style 0 end style  

  3. begin mathsize 14px style 1 fourth square root of 6 end style  

  4. begin mathsize 14px style 1 half square root of 2 end style  

  5. begin mathsize 14px style 1 end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 75 degree space minus space sin space 165 degree space end cell equals cell space cos space left parenthesis 45 degree plus 30 degree right parenthesis minus sin left parenthesis 120 degree plus 45 degree right parenthesis end cell row blank equals cell cos space 45 degree times cos space 30 degree minus sin space 45 degree times sin space 30 degree right parenthesis minus left parenthesis sin space 120 degree times cos space 45 degree plus cos space 120 degree space sin space 45 degree right parenthesis end cell row blank equals cell open parentheses 1 half square root of 2 times 1 half square root of 3 minus 1 half square root of 2 times 1 half close parentheses minus open parentheses 1 half square root of 3 times 1 half square root of 2 plus negative 1 half times 1 half square root of 2 close parentheses end cell row blank equals cell open parentheses fraction numerator square root of 6 over denominator 4 end fraction minus fraction numerator square root of 2 over denominator 4 end fraction close parentheses minus open parentheses fraction numerator square root of 6 over denominator 4 end fraction minus fraction numerator square root of 2 over denominator 4 end fraction close parentheses end cell row blank equals 0 end table end style

 

Jadi, jawaban yang tepat adalah B.

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