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If sec θ = 2, what is the value of cos θ?
If sec θ = 2, what is the value of cos θ?
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Practice Questions
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Q1
If sec θ = 2, what is the value of cos θ?
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Since sec θ = 1/cos θ, if sec θ = 2, then cos θ = 1/2.
Questions & Step-by-step Solutions
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Q: If sec θ = 2, what is the value of cos θ?
Solution:
Since sec θ = 1/cos θ, if sec θ = 2, then cos θ = 1/2.
Steps: 4
Show Steps
Step 1: Understand that sec θ is the reciprocal of cos θ. This means sec θ = 1/cos θ.
Step 2: If sec θ = 2, we can write the equation as 2 = 1/cos θ.
Step 3: To find cos θ, we need to rearrange the equation. Multiply both sides by cos θ: 2 * cos θ = 1.
Step 4: Now, divide both sides by 2 to isolate cos θ: cos θ = 1/2.
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