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Pertanyaan

cos⁡ 67,5° = ....

cos⁡ 67,5° = ....

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

  2. begin mathsize 14px style 1 half square root of 2 plus square root of 3 end root end style  

  3. begin mathsize 14px style 1 half square root of 3 plus square root of 2 end root end style  

  4. begin mathsize 14px style 1 half square root of 2 minus square root of 3 end root end style  

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

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Jawaban terverifikasi

Jawaban

cos⁡ 67,5°bernilai positif. Maka cos⁡ 67,5° = .

cos⁡ 67,5° bernilai positif. Maka cos⁡ 67,5° = begin mathsize 14px style 1 half square root of 2 minus square root of 2 end root end style.

Pembahasan

Ingat bahwa Perhatikan bahwa Perhatikan bahwa sudut 67,5° berada di Kuadran I. Sehingga cos⁡ 67,5°bernilai positif. Maka cos⁡ 67,5° = .

Ingat bahwa

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Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos invisible function application 67 , 5 degree end cell equals cell cos invisible function application 1 half open parentheses 135 degree close parentheses end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus cos invisible function application 135 degree over denominator 2 end fraction end root end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus open parentheses negative 1 half square root of 2 close parentheses over denominator 2 end fraction end root end cell row blank equals cell plus-or-minus square root of fraction numerator 1 minus 1 half square root of 2 over denominator 2 end fraction times 2 over 2 end root end cell row blank equals cell plus-or-minus square root of fraction numerator 2 minus square root of 2 over denominator 4 end fraction end root end cell row blank equals cell plus-or-minus square root of 1 fourth open parentheses 2 minus square root of 2 close parentheses end root end cell row blank equals cell plus-or-minus 1 half square root of 2 minus square root of 2 end root end cell end table end style

Perhatikan bahwa sudut 67,5° berada di Kuadran I. Sehingga cos⁡ 67,5° bernilai positif. Maka cos⁡ 67,5° = begin mathsize 14px style 1 half square root of 2 minus square root of 2 end root end style.

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