To verify: Whether the domains found in exercises 1 and 2 are the only domains for which the trigonometric functions have an inverse functions.
No.
Given:
The restricted domain for the sine function to have an inverse function is
Calculation:
The domain of sine function can be restricted to any of the intervals
Similarly, the domain of cosine function can be restricted to any of the intervals
Hence, there exist infinite restricted domains in which the trigonometric functions have inverse functions.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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