If cos(θ) = 1/2, what are the possible values of θ?

If cos(θ) = 1/2, what are the possible values of θ?

Step 1: Understand that cos(θ) = 1/2 means we are looking for angles θ where the cosine value is 1/2.
Step 2: Recall the unit circle, which helps us find angles based on their cosine values.
Step 3: Remember that cos(θ) = 1/2 corresponds to specific angles in the first and second quadrants.
Step 4: Identify the first angle where cos(θ) = 1/2, which is 30°.
Step 5: Identify the second angle where cos(θ) = 1/2, which is in the second quadrant, specifically 180° - 30° = 150°.
Step 6: Conclude that the possible values of θ are 30° and 150°.

Trigonometric Functions – Understanding the values of trigonometric functions, specifically the cosine function, and their corresponding angles.
Unit Circle – Knowledge of the unit circle and how it relates to the angles where cosine takes specific values.
Periodic Nature of Trigonometric Functions – Recognizing that trigonometric functions are periodic and can have multiple solutions within a given range.