Solve each of the following, 0° ≤ 𝜃 ≤ 360°, using the unit circle. State your answers in degree measure. a. cos 𝜃 =1/2
To find the values of 𝜃 that satisfy cos 𝜃 = 1/2, we need to look at the unit circle and determine where the x-coordinate is equal to 1/2.
In the first quadrant, the cosine value is positive, so we look for the angle where the x-coordinate is positive 1/2. This occurs at 𝜃 = 60°.
In the fourth quadrant, the cosine value is also positive, so we look for the angle where the x-coordinate is positive 1/2. This occurs at 𝜃 = 300°.
Therefore, the solutions to cos 𝜃 = 1/2 in the given range are 𝜃 = 60° and 𝜃 = 300°.