Answer:
θ = [tex]\frac{\pi}{4}[/tex]
θ = [tex]\frac{7\pi}{4}[/tex]
Step-by-step explanation:
2cosθ - √2 = 0
First, add √ 2 to both sides
2cosθ - √2 = 0
+√2 +√2
2cosθ = √2
Divide both sides by 2
2cosθ/2 = √2 / 2
cosθ = [tex]\frac{2}{\sqrt{2}}[/tex]
Use arccos to find θ
arccos([tex]\frac{2}{\sqrt{2}}[/tex]) = [tex]\frac{\pi}{4}[/tex] and [tex]\frac{7\pi}{4}[/tex] = θ
