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If y = cos^(-1)(1/2), what is the value of y?

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Question: If y = cos^(-1)(1/2), what is the value of y?

Options:

  1. π/3
  2. π/4
  3. π/6
  4. π/2

Correct Answer: π/3

Solution: 

cos^(-1)(1/2) = π/3, since cos(π/3) = 1/2.

If y = cos^(-1)(1/2), what is the value of y?

Practice Questions

Q1
If y = cos^(-1)(1/2), what is the value of y?
  1. π/3
  2. π/4
  3. π/6
  4. π/2

Questions & Step-by-Step Solutions

If y = cos^(-1)(1/2), what is the value of y?
Correct Answer: π/3
  • Step 1: Understand that cos^(-1)(1/2) means we are looking for an angle y whose cosine value is 1/2.
  • Step 2: Recall the unit circle or the values of cosine for common angles. We know that cos(Ï€/3) = 1/2.
  • Step 3: Therefore, we can conclude that y = Ï€/3 because it is the angle whose cosine is 1/2.
  • Inverse Trigonometric Functions – Understanding how to evaluate inverse cosine functions and their corresponding angles.
  • Unit Circle – Knowledge of the unit circle and the values of trigonometric functions at key angles.
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