Question

Sederhanakan bentuk persamaan berikut ini.
(sin α + cos α)² + (sin α - cos α)²

Answer 1

(sin α + cos α)² + (sin α - cos α)²
= sin²α + 2.sin α. cos α + cos² α + sin²α - 2.sin α. cos α + cos²a
= 2. sin²α + 2. cos²α
= 2. (sin²α + cos²α)
= 2. (1)
= 2