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10. Nilai dari  adalah...

10. Nilai dari begin mathsize 14px style sin space 75 degree plus cos space 75 degree end style adalah...space    

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

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

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

  4. begin mathsize 14px style 1 end style 

  5. begin mathsize 14px style 1 half square root of 6 end style 

Jawaban:

Perhatikan gambar berikut.

 begin mathsize 14px style sin space 75 degree plus cos space 75 degree equals sin space 75 degree plus sin left parenthesis 90 minus 15 right parenthesis degree equals sin space 75 degree plus sin space 15 degree equals 2 times sin fraction numerator left parenthesis 75 degree plus 15 degree right parenthesis over denominator 2 end fraction times cos fraction numerator left parenthesis 75 degree minus 15 degree right parenthesis over denominator 2 end fraction equals 2 times space sin space 45 degree times cos space 30 degree equals 2 times 1 half square root of 2 times 1 half square root of 3 equals 1 half square root of 6 end style  

Oleh karena itu, jawaban yang benar adalah E.space   space    

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