Question
If \( \sec (x)=2.5 \), find \( \sec (-x) \) \( \sec (-x)= \)
Ask by Cummings Campos. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\sec (-x) = 2.5\)
Solution
The secant function has the property that it is an **even function**, which means that:
\[
\sec(-x) = \sec(x)
\]
Given that:
\[
\sec(x) = 2.5
\]
It follows directly that:
\[
\sec(-x) = 2.5
\]
**Answer:**
\(\sec (-x) = 2.5\)
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Simplify this solution The Deep Dive
Since the secant function is even, we know that \( \sec(-x) = \sec(x) \). Given that \( \sec(x) = 2.5 \), it follows that \( \sec(-x) \) must also equal \( 2.5 \). So, \( \sec(-x) = 2.5 \).
