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If sec A = 2, what is the value of cos A?

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Question: If sec A = 2, what is the value of cos A?

Options:

  1. 1/2
  2. 2
  3. √2
  4. 1

Correct Answer: 1/2

Solution: 

Since sec A = 1/cos A, we have cos A = 1/2.

If sec A = 2, what is the value of cos A?

Practice Questions

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

Questions & Step-by-Step Solutions

If sec A = 2, what is the value of cos A?
  • Step 1: Understand that 'sec A' is the secant of angle A.
  • Step 2: Remember that sec A is the reciprocal of cos A. This means sec A = 1/cos A.
  • Step 3: Since we know that sec A = 2, we can write the equation: 2 = 1/cos A.
  • Step 4: To find cos A, we need to rearrange the equation. We can do this by taking the reciprocal of both sides.
  • Step 5: Taking the reciprocal of 2 gives us cos A = 1/2.
  • Step 6: Therefore, the value of cos A is 1/2.
  • Trigonometric Functions – Understanding the relationship between secant and cosine functions.
  • Reciprocal Identities – Applying the reciprocal identity of secant to find cosine.
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