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What is the value of sec(60°)?
What is the value of sec(60°)?
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Practice Questions
1 question
Q1
What is the value of sec(60°)?
2
√3/2
1/2
√3
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sec(60°) = 1/cos(60°) = 1/(1/2) = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of sec(60°)?
Solution:
sec(60°) = 1/cos(60°) = 1/(1/2) = 2.
Steps: 6
Show Steps
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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