cos 195 derajat=1/4 √2 (1+√3) cos 225 derajat=1/4√2 (1-√3)
Matematika
Hellhound11
Pertanyaan
cos 195 derajat=1/4 √2 (1+√3)
cos 225 derajat=1/4√2 (1-√3)
cos 225 derajat=1/4√2 (1-√3)
1 Jawaban
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1. Jawaban DB45
Nilai fungsi trigonometri sudut relasi
cos (195 ) = cos (180 + 15)= - cos 15
= - cos ( 45- 30)
=- { cos 45 cos 30 + sin 45 sin 30}
= - {1/2 √2 . 1/2 √3 + 1/2 √2 . 1/2)
= - {1/4 √6 + 1/4 √2)
= - 1/4 √2 ( √3 + 1)
= -1/4 √2 ( 1 + √3)
cos 225 = cos (180 + 45) = - cos 45
= - 1/2 √2
= -1/4 √2 ( 2)