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cos 3 0 ∘ cos 4 5 ∘ − sin 3 0 ∘ sin 4 5 ∘ = ...

  

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Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

diperoleh nilai .

diperoleh nilai begin mathsize 14px style cos space 30 degree space cos space 45 degree minus sin space 30 degree space sin space 45 degree equals 1 fourth open parentheses square root of 6 minus square root of 2 close parentheses end style.

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Pembahasan

Gunakan konsep nilai trigonometri sudut istimewa. Perhatikan perhitungan berikut. Jadi, diperoleh nilai .

Gunakan konsep nilai trigonometri sudut istimewa.

Perhatikan perhitungan berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row blank blank cell cos space 30 degree space cos space 45 degree minus sin space 30 degree space sin space 45 degree end cell row blank equals cell 1 half square root of 3 cross times 1 half square root of 2 minus 1 half cross times 1 half square root of 2 end cell row blank equals cell 1 fourth square root of 6 minus 1 fourth square root of 2 end cell row blank equals cell 1 fourth open parentheses square root of 6 minus square root of 2 close parentheses end cell end table end style 

Jadi, diperoleh nilai begin mathsize 14px style cos space 30 degree space cos space 45 degree minus sin space 30 degree space sin space 45 degree equals 1 fourth open parentheses square root of 6 minus square root of 2 close parentheses end style.

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