Inverse Functions
Easymathematics
The range of cos⁻¹(x) is
Select the correct option:
Solution
Incorrect! Answer:
[0, π]
- Principal Branch Selection: For cosine, we restrict the range to an interval where it captures all values from -1 to 1 exactly once.
- Specific Interval: Since cos0=1 and cosπ=−1, we choose [0,π].
- Domain: The corresponding input domain is [−1,1].
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About This Question
- Subject
- mathematics
- Chapter
- trigonometry
- Topic
- inverse functions
- Difficulty
- Easy
- Year
- 2025
This easy difficulty mathematics question is from the chapter trigonometry, covering the topic of inverse functions. It appeared in the 2025 exam. Practice this and similar questions to strengthen your understanding of trigonometry concepts.
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