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What is the value of sec(60°)?

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Question: What is the value of sec(60°)?

Options:

  1. 2
  2. √3/2
  3. 1/2
  4. √3

Correct Answer: 2

Solution: 

sec(60°) = 1/cos(60°) = 1/(1/2) = 2.

What is the value of sec(60°)?

Practice Questions

Q1
What is the value of sec(60°)?
  1. 2
  2. √3/2
  3. 1/2
  4. √3

Questions & Step-by-Step Solutions

What is the value of sec(60°)?
  • Step 1: Understand that sec(60°) means the secant of 60 degrees.
  • Step 2: Recall the relationship between secant and cosine: sec(θ) = 1/cos(θ).
  • Step 3: Substitute 60° into the formula: sec(60°) = 1/cos(60°).
  • Step 4: Find the value of cos(60°). It is known that cos(60°) = 1/2.
  • Step 5: Substitute the value of cos(60°) into the equation: sec(60°) = 1/(1/2).
  • Step 6: Simplify the expression: 1/(1/2) is the same as 1 multiplied by 2, which equals 2.
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