Question: If x = cos^(-1)(1/2), then what is the value of x?
Options:
Ï€/3
Ï€/4
Ï€/2
0
Correct Answer: π/3
Solution:
cos^(-1)(1/2) = π/3.
If x = cos^(-1)(1/2), then what is the value of x?
Practice Questions
Q1
If x = cos^(-1)(1/2), then what is the value of x?
Ï€/3
Ï€/4
Ï€/2
0
Questions & Step-by-Step Solutions
If x = cos^(-1)(1/2), then what is the value of x?
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.
Step 4: Therefore, we conclude that x = π/3.
Inverse Trigonometric Functions – Understanding how to evaluate inverse cosine functions and their corresponding angles.
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