All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mathematics (Maths) Class 12  >  Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - JEE MCQ

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - JEE MCQ


Test Description

5 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions questions and answers have been prepared according to the JEE exam syllabus.The Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions below.
Solutions of Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions questions in English are available as part of our Mathematics (Maths) Class 12 for JEE & Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions solutions in Hindi for Mathematics (Maths) Class 12 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions | 5 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) Class 12 for JEE Exam | Download free PDF with solutions
Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 1
Save

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): sin-1(sin(2π/3)) = 2π/3

Reason (R): sin -1(sin θ) = θ, if q ∈ [(-π)/2, π/2]

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 1
The principal value branch of sin–1x is [(-π)/2, π/2]

Let x = sin θ ⇒ θ = sin–1x

sin–1(sin θ) = sin–1 x = θ

sin–1(sin θ) = θ, if θ ∈ [(-π)/2, π/2]

Hence R is true.

Hence A is false.

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 2
Save

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Principal value of cos–1(1) is π

Reason (R): Value of cos 0° is 1

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 2
In case of Assertion

cos-1(1) = y

Cos y= 1

Cos y = cos 00 [∴ cos 00 = 1]

∴ y = 0

⇒ Principal value of cos–1 (1) is 0

Hence Assertion is in correct.

Reason is correct.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 3
Save

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Range of tan–1x is [(-π/2, π/2)]

Reason (R): Domain of tan–1x is R.

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 3

Domain of tan x is the set {x : x ∈ R and x ≠ (2n + 1) π/2, n ∈ Z} and Range is R.

⇒ tan x is not defined for odd multiples of π/2.

If we restrict the domain of tangent function to [(-π)/2, π/2], then it is one-one and onto with its range as R. Actually tan x restricted to any of the intervals etc., is bijective and its range is R.

Thus tan–1x can be defined as a function whose domain is R and range could be any of the intervals and soon.

∴ Both A and R are true but R is not correct explanation of A.

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 4
Save

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Range of cot–1 x is (0, π)
Reason (R): Domain of tan–1 x is R.
Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 4

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 5
Save

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Principal value of sin-1(1/√2) is π/4

Reason (R): Principal value of cot-1(-1/√3) is π/3
Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 5
sin-1(1/√2) = sin-1(sin (π/4))

= π/4

cot-1((-1/√3) = y

Cot y = -1/√3

= -cot(π/3)

= -cot (π - (π/3)

= cot(2π/3)

⇒ cot-1(-1/√3) = 2π/3

Hence Assertion is correct and Reason is incorrect.

204 videos|290 docs|139 tests
Join Course
Information about Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions Page
In this test you can find the Exam questions for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

204 videos|290 docs|139 tests
Join Course
Download as PDF

Top Courses for JEE

Important Questions for Inverse Trigonometric Functions- Assertion & Reason Type Questions

Find all the important questions for Inverse Trigonometric Functions- Assertion & Reason Type Questions at EduRev.Get fully prepared for Inverse Trigonometric Functions- Assertion & Reason Type Questions with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Inverse Trigonometric Functions- Assertion & Reason Type Questions syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Inverse Trigonometric Functions- Assertion & Reason Type Questions resources.

Inverse Trigonometric Functions- Assertion & Reason Type Questions MCQs with Answers

Prepare for the Inverse Trigonometric Functions- Assertion & Reason Type Questions within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Inverse Trigonometric Functions- Assertion & Reason Type Questions Mathematics (Maths) Class 12

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Inverse Trigonometric Functions- Assertion & Reason Type Questions with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup