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If x = cos^(-1)(-1/2), what is the value of x?
If x = cos^(-1)(-1/2), what is the value of x?
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Practice Questions
1 question
Q1
If x = cos^(-1)(-1/2), what is the value of x?
π/3
2π/3
π/4
π/6
Show Solution
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x = cos^(-1)(-1/2) = 2π/3
Questions & Step-by-step Solutions
1 item
Q
Q: If x = cos^(-1)(-1/2), what is the value of x?
Solution:
x = cos^(-1)(-1/2) = 2π/3
Steps: 3
Show Steps
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 and the values of cosine for common angles. The cosine of 120 degrees (or 2π/3 radians) is -1/2.
Step 3: Therefore, we can conclude that x = 2π/3 is the angle we are looking for.
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