Question:
$\sec(\cos^{-1}(\frac{2024}{2025}))$ is equal to ________.
$\sec(\cos^{-1}(\frac{2024}{2025}))$ is equal to ________.
Show Hint
$\sec(\cos^{-1} x) = \frac{1}{x}$.
Updated On: Jun 26, 2026
- $\frac{2024}{2025}$
- $\frac{2025}{2024}$
- $\frac{1}{2025}$
- $\frac{-1}{2025}$
- $\frac{-2025}{2024}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
Use the identity $\sec\theta = \frac{1}{\cos\theta}$.
Step 2: Meaning
Let $\theta = \cos^{-1}(\frac{2024}{2025})$. Then $\cos\theta = \frac{2024}{2025}$.
Step 3: Analysis
We need $\sec\theta$, which is $\frac{1}{\cos\theta}$.
Step 4: Conclusion
$\sec\theta = \frac{1}{2024/2025} = \frac{2025}{2024}$. Final Answer: (B)
Use the identity $\sec\theta = \frac{1}{\cos\theta}$.
Step 2: Meaning
Let $\theta = \cos^{-1}(\frac{2024}{2025})$. Then $\cos\theta = \frac{2024}{2025}$.
Step 3: Analysis
We need $\sec\theta$, which is $\frac{1}{\cos\theta}$.
Step 4: Conclusion
$\sec\theta = \frac{1}{2024/2025} = \frac{2025}{2024}$. Final Answer: (B)
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