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Find the value of cos^(-1)(0).

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Question: Find the value of cos^(-1)(0).

Options:

  1. 0
  2. π/2
  3. π
  4. 3Ï€/2

Correct Answer: π/2

Solution: 

cos^(-1)(0) = π/2, since cos(π/2) = 0.

Find the value of cos^(-1)(0).

Practice Questions

Q1
Find the value of cos^(-1)(0).
  1. 0
  2. π/2
  3. π
  4. 3Ï€/2

Questions & Step-by-Step Solutions

Find the value of cos^(-1)(0).
Correct Answer: π/2
  • Step 1: Understand what cos^(-1)(0) means. It is asking for the angle whose cosine value is 0.
  • Step 2: Recall the unit circle, which helps us understand the values of cosine for different angles.
  • Step 3: Identify the angle where the cosine value is 0. This occurs at Ï€/2 radians (90 degrees).
  • Step 4: Confirm that cos(Ï€/2) = 0, which means cos^(-1)(0) = Ï€/2.
  • Inverse Trigonometric Functions – Understanding how to find angles using inverse functions, specifically the cosine function.
  • Unit Circle – Knowledge of the unit circle and the values of trigonometric functions at key angles.
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