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What is the value of sec(0°)?

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Question: What is the value of sec(0°)?

Options:

  1. 0
  2. 1
  3. √2
  4. ∞

Correct Answer: 1

Solution: 

sec(0°) = 1/cos(0°) = 1/1 = 1

What is the value of sec(0°)?

Practice Questions

Q1
What is the value of sec(0°)?
  1. 0
  2. 1
  3. √2
  4. ∞

Questions & Step-by-Step Solutions

What is the value of sec(0°)?
  • Step 1: Understand that sec(θ) is the secant function, which is defined as 1 divided by the cosine of the angle θ.
  • Step 2: Identify the angle given in the question, which is 0°.
  • Step 3: Find the cosine of 0°. The cosine of 0° is 1.
  • Step 4: Substitute the value of cos(0°) into the secant formula: sec(0°) = 1/cos(0°).
  • Step 5: Replace cos(0°) with 1 in the formula: sec(0°) = 1/1.
  • Step 6: Simplify the expression: 1/1 equals 1.
  • Step 7: Conclude that the value of sec(0°) is 1.
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