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Inverse Trigonometric Functions
Mathematics · Chapter 2 · Unit 1: Relations and Functions
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Your path through this chapter
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Step 1: Not startedFlashcards Beta
30 cards for quick recall of key terms and facts.
Review the cards Step 3: Not startedPractice
72 board-style questions with instant checks: Multiple choice 28, Short answer 19, Assertion and reason 6, Long answer 6.
Practise Step 4: Not startedChapter test Free
Short and long chapter tests in board pattern, with results and analysis.
Step 5: Not started- Chapter test (long) — Inverse Trigonometric Functions · 40 marks · 100 min
- Chapter test (short) — Inverse Trigonometric Functions · 20 marks · 50 min
Topics 5
- Definition, domain, range and principal value branches of the six inverse trigonometric functions
- Graphs of inverse trigonometric functions
- Elementary properties: interconversion (e.g. sin^-1 x = cos^-1 sqrt(1 - x^2)), reciprocal relations, sin^-1 x + cos^-1 x = pi/2 and similar results
- Sum and difference formulae for sin^-1, cos^-1 and tan^-1 (with conditions such as xy < 1)
- Formulae for 2 sin^-1 x, 2 cos^-1 x, 2 tan^-1 x, 3 tan^-1 x and their applications; solving equations