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Mathematics

Properties of inverse trigonometric functions

In Class 12 Mathematics, this topic from the chapter “Inverse Trigonometric Functions” helps students understand the principal values, domains, and ranges of sin⁻¹x, cos⁻¹x, tan⁻¹x and related functions. It covers standard identities, relationships between inverse trigonometric functions, and the conditions needed to simplify expressions correctly. Students also learn to evaluate compositions and use these properties to solve equations and verify results without confusing restricted angles or function branches.

Medium · Level 2 · 2 questions

Practice questions

01What is the value of \(\sin\left(\cos^{-1}\left(\frac{7}{25}\right)\right)\)?

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Answer and explanation

02What is the correct value of \(\tan\left(\cos^{-1}x\right)\), when \(0<x<1\)?

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Answer and explanation

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