Answer:
∅= 13π/12
Step-by-step explanation:
Solve until you get cos(___) on one side and a value on the other side.
I got cos(2∅-π) = ±√(3)/2
I know that the only cos() value that gives me ±√(3)/2 are -5π/6, -π/6, and π/6 from looking at the unit circle; those 3 are the smallest value that would give me ±√(3)/2.
So i solve for what value of 2∅-π would give me -5π/6, -π/6, and π/6
by solving for
2∅₁-π = -5π/6, 2∅₂-π = -π/6, and 2∅₃-π = π/6
I got ∅₁=π/12, ∅₂=5π/12, ∅₃=7π/12.
The question wanted the sum of the three smallest value so i added it up and got 13π/12.
And thanks for peer review. Good catch on my mistakes.
