Buku Matematika SMK Kelas X
Bab Trigonometri
Kasmina | Toali
38. Nilai dari cos 165° = ...
a. 1/4 √2(√3 - 1)
b. 1/4 √2(1 - √3)
c. - 1/4 √2(√3 - 1)
d. - 1/4 √2(1 - √3)
e. - 1/4 √2(1 + √3)
Jawaban : E
cos 165° = cos (120 + 45)
cos 165° = cos120 . cos 45 - sin 120 . sin 45
cos 165° = -1/2 . 1/2 √2 - 1/2 √3 . 1/2 √2
cos 165° = -1/4 √2 - 1/4 √6
cos 165° = -1/4 √2 (1 +√3)
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