JEE Exam > JEE Notes > Mathematics (Maths) Main & Advanced > Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026)
Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026)
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 JEE Main Previous Year Questions (2021-2026): Inverse Trigonometric Functions (January 2026) Q1: Considering the principal values of inverse trigonometric functions, the value of the expression is equal to: A: 33/56 B: C: D: 16/63 Answer: A Explanation: Simplify the individual components Let a = sin ?¹(2/v13) and ß = cos ?¹(3/v10). Page 2 JEE Main Previous Year Questions (2021-2026): Inverse Trigonometric Functions (January 2026) Q1: Considering the principal values of inverse trigonometric functions, the value of the expression is equal to: A: 33/56 B: C: D: 16/63 Answer: A Explanation: Simplify the individual components Let a = sin ?¹(2/v13) and ß = cos ?¹(3/v10). Q2: If the domain of the function f(x) = sin ?¹(1/(x²-2x-2)), is (-8, a] ? [ß, ?] ? [d, 8), then a + ß + ? + d is equal to A: 4 B: 2 C: 5 D: 3 Answer: A Explanation: Page 3 JEE Main Previous Year Questions (2021-2026): Inverse Trigonometric Functions (January 2026) Q1: Considering the principal values of inverse trigonometric functions, the value of the expression is equal to: A: 33/56 B: C: D: 16/63 Answer: A Explanation: Simplify the individual components Let a = sin ?¹(2/v13) and ß = cos ?¹(3/v10). Q2: If the domain of the function f(x) = sin ?¹(1/(x²-2x-2)), is (-8, a] ? [ß, ?] ? [d, 8), then a + ß + ? + d is equal to A: 4 B: 2 C: 5 D: 3 Answer: A Explanation: so these two inequality and final solution will be intersection of solution of these two inequality. Page 4 JEE Main Previous Year Questions (2021-2026): Inverse Trigonometric Functions (January 2026) Q1: Considering the principal values of inverse trigonometric functions, the value of the expression is equal to: A: 33/56 B: C: D: 16/63 Answer: A Explanation: Simplify the individual components Let a = sin ?¹(2/v13) and ß = cos ?¹(3/v10). Q2: If the domain of the function f(x) = sin ?¹(1/(x²-2x-2)), is (-8, a] ? [ß, ?] ? [d, 8), then a + ß + ? + d is equal to A: 4 B: 2 C: 5 D: 3 Answer: A Explanation: so these two inequality and final solution will be intersection of solution of these two inequality. x ? (-8, -1] ? (1 - v3, 1 + v3) ? [3, 8) - S 2 taking intersection of S 1 & S 2 for final solution. so domain of f(x) is x ? (-8, -1] ? [1 - v2, 1 + v2] ? [3, 8) compare this with given domain x ? (-8, a] ? [ß, ?] ? [d, 8) so, a = -1, ß = 1 - v2, ? = 1 + v2, d = 3 a + ß + ? + d = -1 + 1 - v2 + 1 + v2 + 3 = 4 Q3: The number of solutions of tan ?¹ 4x + tan ?¹ 6x = p/6, where is equal to: A: 2 B: 0 C: 3 D: 1 Answer: D Explanation: Page 5 JEE Main Previous Year Questions (2021-2026): Inverse Trigonometric Functions (January 2026) Q1: Considering the principal values of inverse trigonometric functions, the value of the expression is equal to: A: 33/56 B: C: D: 16/63 Answer: A Explanation: Simplify the individual components Let a = sin ?¹(2/v13) and ß = cos ?¹(3/v10). Q2: If the domain of the function f(x) = sin ?¹(1/(x²-2x-2)), is (-8, a] ? [ß, ?] ? [d, 8), then a + ß + ? + d is equal to A: 4 B: 2 C: 5 D: 3 Answer: A Explanation: so these two inequality and final solution will be intersection of solution of these two inequality. x ? (-8, -1] ? (1 - v3, 1 + v3) ? [3, 8) - S 2 taking intersection of S 1 & S 2 for final solution. so domain of f(x) is x ? (-8, -1] ? [1 - v2, 1 + v2] ? [3, 8) compare this with given domain x ? (-8, a] ? [ß, ?] ? [d, 8) so, a = -1, ß = 1 - v2, ? = 1 + v2, d = 3 a + ß + ? + d = -1 + 1 - v2 + 1 + v2 + 3 = 4 Q3: The number of solutions of tan ?¹ 4x + tan ?¹ 6x = p/6, where is equal to: A: 2 B: 0 C: 3 D: 1 Answer: D Explanation: Q4: If the domain of the function is the interval [a, ß], then a + 2ß is equal to: A: 5 B: 2 C: 3 D: 1 Answer: C Explanation:Read More
FAQs on Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026)
| 1. What are the basic properties of inverse trigonometric functions? |  |
Ans. The basic properties of inverse trigonometric functions include the principal value branches, range, domain, and periodicity of functions such as sin$^{-1}x$, cos$^{-1}x$, and tan$^{-1}x$.
| 2. How do we find the derivatives of inverse trigonometric functions? | |
Ans. To find the derivatives of inverse trigonometric functions, we can use the chain rule and the known derivatives of trigonometric functions. For example, the derivative of sin$^{-1}x$ is $\frac{1}{\sqrt{1-x^2}}$.
| 3. What are some common identities involving inverse trigonometric functions? | |
Ans. Some common identities involving inverse trigonometric functions include sin(sin$^{-1}x) = x$, cos(cos$^{-1}x) = x$, and tan(tan$^{-1}x) = x$. These identities help simplify expressions involving inverse trigonometric functions.
| 4. How do we solve equations involving inverse trigonometric functions? | |
Ans. To solve equations involving inverse trigonometric functions, we can apply the properties and identities of these functions. We can also use trigonometric identities to simplify the expressions and find the solutions.
| 5. Can inverse trigonometric functions be used to find angles in a triangle? | |
Ans. Yes, inverse trigonometric functions can be used to find angles in a triangle. By using the properties of inverse trigonometric functions, we can determine unknown angles in a triangle based on the given sides or angles.
About this Document
4.84/5 Rating
Apr 25, 2026 Last updated
Related Exams
Document Description: Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) for JEE 2026 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The notes and questions for Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) have been prepared according to the JEE exam syllabus. Information about Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) covers topics like and Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) Example, for JEE 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026).
Introduction of Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) in English is available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free. JEE: Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026)
Description
Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021 of Maths is important for the exam. Get access to all the questions with solutions asked in past years of JEE exam. Download it from EduRev.
Information about Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026)
In this doc you can find the meaning of Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) defined & explained in the simplest way possible. Besides explaining types of Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) theory, EduRev gives you an ample number of questions to practice Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026) tests, examples and also practice JEE tests
Related Searches
ppt, video lectures, MCQs, Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026), Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026), Important questions, shortcuts and tricks, Semester Notes, Summary, Viva Questions, Objective type Questions, Previous Year Questions with Solutions, study material, Exam, practice quizzes, mock tests for examination, Sample Paper, Free, Inverse Trigonometric Functions: JEE Main Previous Year Questions (2021-2026), past year papers, Extra Questions, pdf ;