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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.

TOPIC PRACTICE

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Easy · Level 32 · inverse trigonometric functions,graph,increasing
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  1. \(\left[-1,1\right]\)
  2. \(\mathbb{R}\)
  3. \(\left[0,\pi\right]\)
  4. \(\left(-\infty,-1\right]\cup\left[1,\infty\right)\)
Easy · Level 32 · inverse trigonometric functions,graph,arcsin
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  1. \(\left(0,0\right)\)
  2. \(\left(1,0\right)\)
  3. \(\left(0,\frac{\pi}{2}\right)\)
  4. \(\left(-1,0\right)\)
Easy · Level 32 · inverse trigonometric functions,graph,arccos
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  1. \(\left(1,0\right)\)
  2. \(\left(0,0\right)\)
  3. \(\left(1,\pi\right)\)
  4. \(\left(-1,0\right)\)
Medium · Level 31 · inverse-trigonometry,odd-function,arcsin,Graphs of inverse trigonometric functions,Inverse Trigonometric Functions,Mathematics,Class 12 MCQ
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  1. (-\sin^{-1}x)
  2. (\sin^{-1}x)
  3. (\pi-\sin^{-1}x)
  4. (\frac{\pi}{2}-\sin^{-1}x)