Pertanyaan

Nilai dari cos⁡ 11,25° adalah ....

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Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Perhatikan pula bahwa Karena 22,5° adalah sudut pada kuadran I, sehingga cos⁡ 22,5°bernilai positif. Sehingga Selanjutnya Karena 11,25° adalah sudut pada kuadran I, sehingga cos⁡ 11,25°bernilai positif. Sehingga

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos invisible function application 11 , 25 degree end cell equals cell cos invisible function application open parentheses 1 half open parentheses 22 , 5 degree close parentheses close parentheses end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus cos invisible function application 22 , 5 degree over denominator 2 end fraction end root end cell end table end style$

Perhatikan pula bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos invisible function application 22 , 5 degree end cell equals cell cos invisible function application open parentheses 1 half open parentheses 45 degree close parentheses close parentheses end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus cos invisible function application 45 degree over denominator 2 end fraction end root end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus 1 half square root of 2 over denominator 2 end fraction end root end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus 1 half square root of 2 over denominator 2 end fraction times 2 over 2 end root end cell row blank equals cell plus-or-minus square root of fraction numerator 2 plus square root of 2 over denominator 4 end fraction end root end cell row blank equals cell plus-or-minus fraction numerator square root of 2 plus square root of 2 end root over denominator square root of 4 end fraction end cell row blank equals cell plus-or-minus fraction numerator square root of 2 plus square root of 2 end root over denominator 2 end fraction end cell row blank equals cell plus-or-minus 1 half square root of 2 plus square root of 2 end root end cell end table end style$

Karena 22,5° adalah sudut pada kuadran I, sehingga cos⁡ 22,5° bernilai positif. Sehingga

Selanjutnya

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos invisible function application 11 , 25 degree end cell equals cell plus-or-minus square root of fraction numerator 1 plus cos invisible function application 22 , 5 degree over denominator 2 end fraction end root end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus 1 half square root of 2 plus square root of 2 end root over denominator 2 end fraction end root end cell row blank equals cell plus-or-minus square root of fraction numerator 1 plus 1 half square root of 2 plus square root of 2 end root over denominator 2 end fraction times 2 over 2 end root end cell row blank equals cell plus-or-minus square root of fraction numerator 2 plus square root of 2 plus square root of 2 end root over denominator 4 end fraction end root end cell row blank equals cell plus-or-minus fraction numerator square root of 2 plus square root of 2 plus square root of 2 end root end root over denominator square root of 4 end fraction end cell row blank equals cell plus-or-minus fraction numerator square root of 2 plus square root of 2 plus square root of 2 end root end root over denominator 2 end fraction end cell row blank equals cell plus-or-minus 1 half square root of 2 plus square root of 2 plus square root of 2 end root end root end cell end table end style$

Karena 11,25° adalah sudut pada kuadran I, sehingga cos⁡ 11,25° bernilai positif. Sehingga