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What is the value of sec(θ) if cos(θ) = 3/5?
What is the value of sec(θ) if cos(θ) = 3/5?
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Practice Questions
1 question
Q1
What is the value of sec(θ) if cos(θ) = 3/5?
5/3
3/5
4/5
1/3
Show Solution
Copy
sec(θ) = 1/cos(θ) = 1/(3/5) = 5/3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of sec(θ) if cos(θ) = 3/5?
Solution:
sec(θ) = 1/cos(θ) = 1/(3/5) = 5/3.
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/(3/5).
Step 4: To divide by a fraction, multiply by its reciprocal: sec(θ) = 1 * (5/3).
Step 5: Simplify the expression: sec(θ) = 5/3.
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