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Important Questions

Inverse Trigonometric Functions — Important Questions

ICSE · Class 12 · Mathematics

104 important questions from Inverse Trigonometric Functions for ICSE Class 12 Mathematics, with answers. Written for the board exams 2027.

104 questions30 flashcards22 formulas & key relations5 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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104 Questions·
multiple choicetrue false

Important Questions from Inverse Trigonometric Functions

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).

Show answer

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).

Show answer

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 Why inverse trigonometric functions are defined, Principal value branches and basic identities, Negative argument and complementary angle properties, Conversion among inverse trig functions. Study these first, then practise questions on each for the ICSE Class 12 board exam.
How many important questions are there in Inverse Trigonometric Functions?
Super Tutor has 104 practice questions for Inverse Trigonometric Functions, including multiple choice, true false questions. A sample with answers is on this page.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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