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If sec(x) = 2, what is the value of cos(x)?

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Question: If sec(x) = 2, what is the value of cos(x)?

Options:

  1. 1/2
  2. 2
  3. √3/2
  4. 1

Correct Answer: 1/2

Solution: 

sec(x) = 1/cos(x), so cos(x) = 1/2.

If sec(x) = 2, what is the value of cos(x)?

Practice Questions

Q1
If sec(x) = 2, what is the value of cos(x)?
  1. 1/2
  2. 2
  3. √3/2
  4. 1

Questions & Step-by-Step Solutions

If sec(x) = 2, what is the value of cos(x)?
Correct Answer: 0.5
  • Step 1: Understand what sec(x) means. Secant is the reciprocal of cosine.
  • Step 2: Write the relationship: sec(x) = 1/cos(x).
  • Step 3: Since we know sec(x) = 2, we can write: 2 = 1/cos(x).
  • Step 4: To find cos(x), we need to rearrange the equation. Multiply both sides by cos(x): 2 * cos(x) = 1.
  • Step 5: Now, divide both sides by 2 to isolate cos(x): cos(x) = 1/2.
  • Trigonometric Identities – Understanding the relationship between secant and cosine functions.
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