1. Tardigrade
  2. Question
  3. Mathematics
  4. Assertion: The domain of the function sec -1 x is the set of all real numbers. Reason: For the function sec -1 x , x can take all real values except in the interval (-1,1).

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Q. Assertion: The domain of the function $\sec ^{-1} x$ is the set of all real numbers.
Reason: For the function $sec ^{-1} x , x$ can take all real values except in the interval $(-1,1)$.

Inverse Trigonometric Functions

Solution:

The domain of the function $\sec { }^{1} x$ is $R -(-1,1)$.