Use a calculator to solve the equation on the interval \( 0 \leq \theta<2 \pi \). \( \cos \theta=-0.96 \) What are the solutions in the interval \( 0 \leq \theta<2 \pi \) ? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is \{ (Type your answer in radians. Round to two decimal places as needed. Use a comma to separate answers as needed.) B. There is no solution.

To solve the equation \( \cos \theta = -0.96 \) on the interval \( 0 \leq \theta < 2\pi \), we can use the inverse cosine function. However, since the cosine function is negative, we will find solutions in the second and third quadrants. 1. First, find the reference angle: \[ \theta_{\text{ref}} = \cos^{-1}(0.96) \] Using a calculator, we find: \[ \theta_{\text{ref}} \approx 0.2838 \text{ radians} \] 2. Now, we find the angles in the second and third quadrants: - In the second quadrant: \[ \theta_1 = \pi - \theta_{\text{ref}} \approx \pi - 0.2838 \approx 2.8573 \text{ radians} \] - In the third quadrant: \[ \theta_2 = \pi + \theta_{\text{ref}} \approx \pi + 0.2838 \approx 3.4254 \text{ radians} \] 3. Rounding to two decimal places: - \( \theta_1 \approx 2.86 \) - \( \theta_2 \approx 3.43 \) Thus, the solution set is: \[ \{ 2.86, 3.43 \} \] So the correct choice is: A. The solution set is \{ 2.86, 3.43 \}