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Inverse Trigonometric Functions — Practice Quiz

ICSE · Class 12 · Mathematics

Try a 4-question quiz on Inverse Trigonometric Functions for ICSE Class 12 Mathematics: tap an answer to check it and see why.

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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Quick Quiz: Inverse Trigonometric Functions

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

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·
multiple choicetrue false

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).

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 practice questions are there for Inverse Trigonometric Functions?
There are 104 questions on Inverse Trigonometric Functions. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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

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