Final answer:
The exact solutions of cos x = - sqrt(3)/2 on the interval pi are pi/6 and 11pi/6
Step-by-step explanation:
To find all the exact solutions of cos x = -√3/2 on the interval π, we need to identify the values of x that satisfy this equation. The cosine function takes on values between -1 and 1, so the equation cos x = -√3/2 is satisfied when x is equal to π/6 and 11π/6. This is because cos (π/6) = -√3/2 and cos (11π/6) = -√3/2. These are the exact solutions of the given equation on the interval π.