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Mathematics

Graphs of inverse trigonometric functions

प्रतिलोम त्रिकोणमितीय फलनों के ग्राफ

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.

Practice questions

On which interval is \(\sin^{-1}x\) increasing?Through which point does the graph of \(\sin^{-1}x\) pass?Through which point does the graph of \(\\cos^{-1}x\) pass?What is (\sin^{-1}(-x)) equal to?