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If sec(x) = 2, what is the value of cos(x)?
If sec(x) = 2, what is the value of cos(x)?
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Practice Questions
1 question
Q1
If sec(x) = 2, what is the value of cos(x)?
1/2
2
√3/2
1
Show Solution
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sec(x) = 1/cos(x), so cos(x) = 1/2.
Questions & Step-by-step Solutions
1 item
Q
Q: If sec(x) = 2, what is the value of cos(x)?
Solution:
sec(x) = 1/cos(x), so cos(x) = 1/2.
Steps: 5
Show Steps
Step 1: Understand what sec(x) means. Secant is the reciprocal of cosine.
Step 2: Write the relationship: sec(x) = 1/cos(x).
Step 3: Since we know sec(x) = 2, we can write: 2 = 1/cos(x).
Step 4: To find cos(x), we need to rearrange the equation. Multiply both sides by cos(x): 2 * cos(x) = 1.
Step 5: Now, divide both sides by 2 to isolate cos(x): cos(x) = 1/2.
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