nilai Sin 45 derajat Cos 15 derajat + Cos 15 derajat sama dengan ? beserta jalan. thanks
Matematika
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Pertanyaan
nilai Sin 45 derajat Cos 15 derajat + Cos 15 derajat sama dengan ?
beserta jalan. thanks
1 Jawaban
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1. Jawaban Ghinashoda
sin45cos15 + cos15= (1/2)(sin(45 + 15) + sin(45 - 15)) + cos(45 - 30)
= (1/2)(sin60 + sin30) + (cos45cos30 + sin45sin30)
=(1/2)((1/2)√3+ 1/2) + ((1/2)√2(1/2)√3 + (1/2)√2(1/2))
= (1/4)(√3 + 1) + (1/4)(√6 + √2)
= (1/4)(1 + √2 + √3 + √6)