All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mathematics (Maths) for JEE Main & Advanced  >  Inverse Trigonometric Functions - 1 - JEE MCQ

Inverse Trigonometric Functions - 1 - JEE MCQ


Test Description

30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Inverse Trigonometric Functions - 1

Inverse Trigonometric Functions - 1 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Inverse Trigonometric Functions - 1 questions and answers have been prepared according to the JEE exam syllabus.The Inverse Trigonometric Functions - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Inverse Trigonometric Functions - 1 below.
Solutions of Inverse Trigonometric Functions - 1 questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Inverse Trigonometric Functions - 1 solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Inverse Trigonometric Functions - 1 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Inverse Trigonometric Functions - 1 - Question 1
Save

If ƒ(x) = √(2tan(x)),then f-1(√(2)) =

Detailed Solution for Inverse Trigonometric Functions - 1 - Question 1

Correct Answer :- b

Explanation : ƒ(x) = √(2tan(x))

x = √(2tan(x))

x2 = (2tan(x))

(x2)/2 = tan(x)

tan-1(x^2)/2 = x

By putting x = √2, we get

x = 1

Inverse Trigonometric Functions - 1 - Question 2
Save

The value of cos15º− sin15º is

Detailed Solution for Inverse Trigonometric Functions - 1 - Question 2

  

 

1 Crore+ students have signed up on EduRev. Have you? Download the App
Inverse Trigonometric Functions - 1 - Question 3
Save

The maximum value of sin x + cos x is

Detailed Solution for Inverse Trigonometric Functions - 1 - Question 3

Inverse Trigonometric Functions - 1 - Question 4
Save

The value of tan150 + cot150 is
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 4

The value of tan150 + cot 150 

Inverse Trigonometric Functions - 1 - Question 5
Save

The number of solutions of the equation sin-1 x - cos-1 x = sin-1(1/2) is
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 5




Hence , the given equation has only one solution.

Inverse Trigonometric Functions - 1 - Question 6
Save

What is the maximum and minimum value of sin x +cos x?
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 6

Let y= sin x + cos x

dy/dx=cos x- sin x

For maximum or minimum dy/dx=0

Setting cosx- sin x=0

We get cos x = sin x

x= π/4, 5π/4———-

Whether these correspond to maximum or minimum, can be found from the sign of second derivative.

d^2y/dx^2=-sin x - cos x=-1/√2–1/√2 (for x=π/4) which is negative. Hence x=π/4 corresponds to maximum.For x=5π/4

d^2y/dx^2=-(-1/√2)-(-1/√2)=2/√2 a positive quantity. Hence 5π/4 corresponds to minimum

Maximum value of the function

y= sin π/4 + cos π/4= 2/√2=√2

Minimum value is

Sin(5π/4)+cos (5π/4)=-2/√2=-√2

Inverse Trigonometric Functions - 1 - Question 7
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 7


Inverse Trigonometric Functions - 1 - Question 8
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 8


Inverse Trigonometric Functions - 1 - Question 9
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 9


Inverse Trigonometric Functions - 1 - Question 10
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 10

Inverse Trigonometric Functions - 1 - Question 11
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 11


Inverse Trigonometric Functions - 1 - Question 12
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 12


Inverse Trigonometric Functions - 1 - Question 13
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 13

Inverse Trigonometric Functions - 1 - Question 14
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 14


Inverse Trigonometric Functions - 1 - Question 15
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 15

Inverse Trigonometric Functions - 1 - Question 16
Save

Equation of the image of the line x + y = sin–1(a3 + 1) + cos–1(a2 + 1) – tan–1(a + 1), a ∈ R about y-axis is given by-
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 16

a = 0


Inverse Trigonometric Functions - 1 - Question 17
Save

Number of solutions of the equation 2 cot–12 + cos–1(3/5) = cosec–1 x is
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 17


Inverse Trigonometric Functions - 1 - Question 18
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 18

Inverse Trigonometric Functions - 1 - Question 19
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 19


Inverse Trigonometric Functions - 1 - Question 20
Save

Which one of the following can best represent the graph of the function, f (x) = cos–1(2x2 – 1)?
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 20


Inverse Trigonometric Functions - 1 - Question 21
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 21


Inverse Trigonometric Functions - 1 - Question 22
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 22


Inverse Trigonometric Functions - 1 - Question 23
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 23


Inverse Trigonometric Functions - 1 - Question 24
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 24


Inverse Trigonometric Functions - 1 - Question 25
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 25


Inverse Trigonometric Functions - 1 - Question 26
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 26

Inverse Trigonometric Functions - 1 - Question 27
Save

The set of values of x, satisfying the equation tan2(sin–1x) > 1 is
Detailed Solution for Inverse Trigonometric Functions - 1 - Question 27


Inverse Trigonometric Functions - 1 - Question 28
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 28


Inverse Trigonometric Functions - 1 - Question 29
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 29


Inverse Trigonometric Functions - 1 - Question 30
Save


Detailed Solution for Inverse Trigonometric Functions - 1 - Question 30

209 videos|443 docs|143 tests
Join Course
Information about Inverse Trigonometric Functions - 1 Page
In this test you can find the Exam questions for Inverse Trigonometric Functions - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Inverse Trigonometric Functions - 1, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for Inverse Trigonometric Functions - 1

Find all the important questions for Inverse Trigonometric Functions - 1 at EduRev.Get fully prepared for Inverse Trigonometric Functions - 1 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 - 1 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 - 1 resources.

Inverse Trigonometric Functions - 1 MCQs with Answers

Prepare for the Inverse Trigonometric Functions - 1 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 - 1 Mathematics (Maths) for JEE Main & Advanced

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 - 1 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup