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Class 12 Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functionsEasy

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For \(\cos^{-1}\left(\frac{x}{3}\right)\) to be real, in which interval should (x) lie?

Answer and explanation

Correct answer: ([-3,3])

For \(\cos^{-1}\left(\frac{x}{3}\right)\), we need \(-1\le\frac{x}{3}\le1\). Therefore \(-3\le x\le3\).

Related tags

Inverse-Trigonometry Domain Inequality Introduction To Inverse Trigonometric Functions Inverse Trigonometric Functions Mathematics Class 12 Mcq

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