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Jawaban:
Sudut 75° merupakan jumlah dua sudut istimewa yakni 30° dan 45°. Gunakan rumus cosinus jumlah dua sudut cos (α + β) = (cos α. cos β) – (sin α. sin β).
Dengan α = 30°, dan β = 45°
cos 75° = cos (30° + 45°)
cos 75° = (cos 30°.cos 45°) – (sin 30°.sin 45°)
cos 75° = (¹/₂.√3)(¹/₂.√2) – (¹/₂)(¹/₂.√2)
cos 75° = (¹/₄.√6) – (¹/₄.√2)
Jadi nilai cos 75° = ¹/₄.[√6 – √2] atau dapat ditulis ¹/₄.√2.[√3 – 1]
Pertanyaan Berikutnya: Sebutkan batas wilayah negara mesir !
