Nilai x yang memenuhi persamaan 2 cos x √ 2 dengan 0 ≤ x ≤ 360

Pengguna Brainly Pengguna Brainly

TriGonoMetRi2 cos x + 2 sin x = √2cos x + sin x = 1/2 √2a cos x + b sin x = m . cos (x - θ)cos x + sin x = m cos (x - θ)a = 1 ; b = 1m = √(a² + b²)m = √(1² + 1²)m = √2tan θ = b/a = 1/1θ = 45°cos x + sin x = 1/2 √2√2 cos (x - 45°) = 1/2 √2cos (x - 45°) = 1/2cos (x - 45°) = cos 60°x - 45° = ± 60° + k.360°x = 45° ± 60° + k.360°x = 105° + k.360°ataux = -15° + k.360°k bilangan bulatk = 0 ---> x = 105° , -15°k = 1 ---> x = 465° , 345°0° ≤ x ≤ 360°Nilai x yg memenuhi :105° dan 345°