Answer:
60° or 120°
Step-by-step explanation:
You can solve the equation by combining like terms across the equal sign and using inverse operations. Since there are two terms with cos²∅, you can combine them.
6cos²∅ + 3 = 4 + 2cos²∅ Subtract 2cos²∅
4cos²∅ + 3 = 4 Subtract 3 from both sides
4cos²∅ = 1 Divide by 4 on both sides
cos²∅ = 1/4 Square root both sides
cos ∅ = ± 1/2
Solve by identifying which angles have a cosine value of 1/2 and -1/2. These angles are 60° and 120°
