Question

Approximate the solution to 2cos ( x/2 )≥ 1/4 for 0≤ x≤ 2π

a. 0≤ x≤ 2.8909
b. 0≤ x≤ π
c. 2.8909≤ x≤ π
d. π ≤ x≤ 2π

Answer 1

To approximate the solution to 2cos(x/2) ≥ 1/4 for 0 ≤ x ≤ 2π, the approximate solution is 0 ≤ x ≤ π.

Step-by-step explanation:

To approximate the solution to 2cos(x/2) ≥ 1/4 for 0 ≤ x ≤ 2π, we need to find the values of x that satisfy the inequality.

Step 1: Solve the equation 2cos(x/2) = 1/4.

Step 2: Find the solutions within the given interval of 0 ≤ x ≤ 2π.

Step 3: Check the solutions to determine which ones satisfy the inequality 2cos(x/2) ≥ 1/4.

Based on these steps, the approximate solution to 2cos(x/2) ≥ 1/4 for 0 ≤ x ≤ 2π is option (b) 0 ≤ x ≤ π.