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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions2 Marks
Question
Find the domain of $\text{f(x)}=\cos^{-1}\text{x}=\cos\text{x}$
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Answer

For $\cos^{-1}\text{x} $ to be defined. $-1\leq\text{x}\leq1$ Now, $\cos\text{x}$ is defined for all real values. So, domain of $\cos\text{x}$ is R.Domain of f(x) is $\text{R}\cap[-1,1]=[-1,1].$

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