My Learning Cart
?
Categories
Account

Inverse trigonometric functions

Download Q&A
Q. If \( y = \sin^{-1}(x) + \cos^{-1}(x) \), what is the value of \( y \)?
  • A. 0
  • B. 1
  • C. \( \frac{\pi}{2} \)
  • D. undefined
Q. If \( y = \tan^{-1}(x) + \tan^{-1}(y) \), what is the value of \( y \) when \( x = 1 \)?
  • A. 0
  • B. 1
  • C. \( \frac{\pi}{4} \)
  • D. undefined
Q. The range of sin^(-1)(x) is:
  • A. [-π/2, π/2]
  • B. [0, π]
  • C. [-1, 1]
  • D. [0, 1]
Q. The range of the function y = sin^(-1)(x) is:
  • A. (0, π)
  • B. [-π/2, π/2]
  • C. [-1, 1]
  • D. [0, 1]
Q. The value of cos(tan^(-1)(x)) is:
  • A. 1/√(1+x^2)
  • B. x/√(1+x^2)
  • C. √(1+x^2)/x
  • D. 0
Q. The value of sin(tan^(-1)(x)) is:
  • A. x/√(1+x^2)
  • B. √(1-x^2)
  • C. 1/√(1+x^2)
  • D. x
Q. The value of sin^(-1)(sin(π/4)) is:
  • A. π/4
  • B. 3π/4
  • C. 0
  • D. π/2
Q. What is the derivative of \( y = \tan^{-1}(x) \)?
  • A. \( \frac{1}{1+x^2} \)
  • B. \( \frac{1}{x^2+1} \)
  • C. \( \frac{1}{x} \)
  • D. 0
Q. What is the principal value of cot^(-1)(0)?
  • A. 0
  • B. π/2
  • C. π
  • D. undefined
Q. What is the principal value of sec^(-1)(2)?
  • A. π/3
  • B. π/4
  • C. π/6
  • D. 0
Q. What is the range of the function sin^(-1)(x)?
  • A. (-π/2, π/2)
  • B. (-1, 1)
  • C. (0, π)
  • D. (0, 1)
Q. What is the value of cos^(-1)(0)?
  • A. 0
  • B. π/2
  • C. π
  • D. 1
Q. What is the value of cot(cos^(-1)(1/2))?
  • A. √3
  • B. 1/√3
  • C. 2
  • D. √2
Q. What is the value of sec^(-1)(2)?
  • A. π/3
  • B. π/4
  • C. π/6
  • D. 0
Q. What is the value of sin(tan^(-1)(1))?
  • A. 1/√2
  • B. 1/2
  • C. 1
  • D. √2/2
Q. What is the value of sin(tan^(-1)(√3))?
  • A. √3/2
  • B. 1/2
  • C. 1
  • D. √2/2
Q. What is the value of sin^(-1)(sin(π/4))?
  • A. π/4
  • B. 3π/4
  • C. π/2
  • D. 0
Q. What is the value of tan^(-1)(√3)?
  • A. π/3
  • B. π/4
  • C. π/6
  • D. π/2
Q. What is the value of \( \tan(\tan^{-1}(3)) \)?
  • A. 0
  • B. 1
  • C. 3
  • D. undefined
Showing 31 to 49 of 49 (2 Pages)

Inverse Trigonometric Functions MCQ & Objective Questions

Inverse trigonometric functions are crucial for students preparing for school and competitive exams in India. Mastering these functions not only enhances your understanding of trigonometry but also significantly boosts your exam scores. Practicing MCQs and objective questions on this topic helps identify important concepts and improves problem-solving speed, making it essential for effective exam preparation.

What You Will Practise Here

  • Definitions and properties of inverse trigonometric functions
  • Key formulas for calculating values of inverse functions
  • Graphs of inverse trigonometric functions
  • Applications of inverse trigonometric functions in solving triangles
  • Common identities involving inverse trigonometric functions
  • Conversion between degrees and radians in context
  • Solving equations involving inverse trigonometric functions

Exam Relevance

Inverse trigonometric functions are frequently tested in CBSE, State Boards, NEET, and JEE exams. Questions often involve direct applications of definitions, properties, and solving equations. You may encounter multiple-choice questions that require quick recall of formulas or conceptual understanding, making it vital to practice these topics thoroughly.

Common Mistakes Students Make

  • Confusing the domains and ranges of inverse trigonometric functions
  • Misapplying identities related to inverse functions
  • Overlooking the need for angle conversions in problems
  • Failing to interpret graphs correctly
  • Neglecting to check for extraneous solutions in equations

FAQs

Question: What are the main inverse trigonometric functions?
Answer: The main inverse trigonometric functions are arcsin, arccos, and arctan, along with their respective reciprocal functions.

Question: How do I remember the properties of inverse trigonometric functions?
Answer: Creating a summary chart of the properties and practicing related MCQs can help reinforce your memory effectively.

Start solving practice MCQs on inverse trigonometric functions today to solidify your understanding and boost your confidence for upcoming exams. Remember, consistent practice is the key to success!

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks