If x = cos^(-1)(1/2), then what is the value of x?
Practice Questions
1 question
Q1
If x = cos^(-1)(1/2), then what is the value of x?
π/3
π/4
π/2
0
cos^(-1)(1/2) = π/3.
Questions & Step-by-step Solutions
1 item
Q
Q: If x = cos^(-1)(1/2), then what is the value of x?
Solution: cos^(-1)(1/2) = π/3.
Steps: 4
Step 1: Understand that cos^(-1)(1/2) means we are looking for an angle x whose cosine value is 1/2.
Step 2: Recall the unit circle or the special angles in trigonometry. The cosine of an angle is equal to the x-coordinate of the point on the unit circle.
Step 3: Identify the angle where the cosine value is 1/2. This occurs at 60 degrees or π/3 radians.