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Inverse Trigonometric Functions

ICSE · Class 12 · Mathematics

Practice quiz for Inverse Trigonometric Functions — ICSE Class 12 Mathematics. MCQs and questions with answers to test your preparation.

104 questions30 flashcards5 concepts

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A clear, organized comparison chart summarizing the domain and principal value range for all six inverse trigonometric functions: arcsin, arccos, arctan, arccosec, arcsec, and arccot.
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Quick Quiz: Inverse Trigonometric Functions

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1

The range of sin⁻¹ (principal value branch) is:

2

The range of cos⁻¹ (principal value branch) is:

3

The domain of tan⁻¹ is:

4

Find the principal value of sin⁻¹(1/√2).

104 Questions·
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Sample Questions

1multiple choice

Find the principal value of cos⁻¹(1/2).

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π/3

cos(π/3) = 1/2 and π/3 ∈ [0, π]. So cos⁻¹(1/2) = π/3.

2multiple choice

Find the principal value of tan⁻¹(1).

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π/4

tan(π/4) = 1 and π/4 ∈ (−π/2, π/2). So tan⁻¹(1) = π/4.

3multiple choice

Find sin⁻¹(−1/2).

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−π/6

sin⁻¹(−1/2) = −sin⁻¹(1/2) = −π/6. Using the odd property.

4multiple choice

Find cos⁻¹(−1/2).

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2π/3

cos⁻¹(−1/2) = π − cos⁻¹(1/2) = π − π/3 = 2π/3.

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Frequently Asked Questions

What are the important topics in Inverse Trigonometric Functions for ICSE Class 12 Mathematics?
Key topics in Inverse Trigonometric Functions include Complete Overview of Inverse Trigonometric Functions, Inverse Trigonometric Functions - Complete Overview, This pie chart shows the distribution of how the six inverse functions are categorized by their range characteristics.. These are the concepts ICSE Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Inverse Trigonometric Functions — ICSE Class 12 Mathematics?
Understand the core concepts first, then work through the 104 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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