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What is the value of sec(θ) if cos(θ) = 1/3?
What is the value of sec(θ) if cos(θ) = 1/3?
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Practice Questions
1 question
Q1
What is the value of sec(θ) if cos(θ) = 1/3?
3
1/3
√3
1
Show Solution
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sec(θ) = 1/cos(θ) = 1/(1/3) = 3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of sec(θ) if cos(θ) = 1/3?
Solution:
sec(θ) = 1/cos(θ) = 1/(1/3) = 3.
Steps: 5
Show Steps
Step 1: Understand that sec(θ) is the reciprocal of cos(θ).
Step 2: Write the formula for sec(θ): sec(θ) = 1/cos(θ).
Step 3: Substitute the given value of cos(θ) into the formula: sec(θ) = 1/(1/3).
Step 4: Simplify the expression: 1/(1/3) means you multiply 1 by the reciprocal of 1/3, which is 3.
Step 5: Therefore, sec(θ) = 3.
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