Question

Решите уравнение: $cos^{2}$$alpha$ - $sin^{2}$$alpha$ = 0,5

Answer 1

cos²α-sin²α=0.5
cos2α=0.5
2α=±arccos(0.5) + 2πn, n ∈ Z
2α=±π/3 + 2πn , n ∈ Z
α=±π/6 + πn, n ∈ Z