Subjects algebra

Arctan Square Root 3698Cd

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Question: tan inverse squereroot of x
1. **State the problem:** Find the expression for $\tan^{-1}(\sqrt{x})$. 2. **Recall the definition:** The function $\tan^{-1}(y)$, also called arctangent, gives the angle whose tangent is $y$. 3. **Interpret the problem:** Here, the input to arctangent is $\sqrt{x}$, the square root of $x$. 4. **No further simplification is possible without additional context or constraints on $x$.** 5. **Summary:** The expression $\tan^{-1}(\sqrt{x})$ represents the angle whose tangent is the square root of $x$. This is the final form unless a specific value or range for $x$ is given.