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Mathematics

Graphs of inverse trigonometric functions

In this Class 12 Mathematics topic from the chapter “Inverse Trigonometric Functions,” students learn how to sketch and interpret the graphs of sin⁻¹x, cos⁻¹x, tan⁻¹x and related functions. The topic connects each graph with its parent trigonometric function through reflection and restriction of domain, while emphasizing principal values, domains, ranges, intercepts, symmetry and key points. Students also examine how transformations affect these graphs and use them to understand inverse-function relationships.

Easy · Level 1 · 3 questions

Practice questions

01On which interval is \(\sin^{-1}x\) increasing?

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Answer and explanation

02Through which point does the graph of \(\sin^{-1}x\) pass?

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Answer and explanation

03Through which point does the graph of \(\\cos^{-1}x\) pass?

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Answer and explanation

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