All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mathematics (Maths) Class 12  >  Test: Inverse Trigonometry- 2 - JEE MCQ

Test: Inverse Trigonometry- 2 - JEE MCQ


Test Description

25 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Inverse Trigonometry- 2

Test: Inverse Trigonometry- 2 for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Inverse Trigonometry- 2 questions and answers have been prepared according to the JEE exam syllabus.The Test: Inverse Trigonometry- 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inverse Trigonometry- 2 below.
Solutions of Test: Inverse Trigonometry- 2 questions in English are available as part of our Mathematics (Maths) Class 12 for JEE & Test: Inverse Trigonometry- 2 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 Trigonometry- 2 | 25 questions in 25 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 Trigonometry- 2 - Question 1
Save

cos2θ is not equal to

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 1

cos 2θ is equal to cos2θ - sin2θ = 2cos2θ - 1

Test: Inverse Trigonometry- 2 - Question 2
Save

 is equal to 

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 2

sin-1√3/5 = A
Sin A = √3/5 , cos A = √22/5 
Therefore Cos-1√3/5 = B
Cos B = √3/5 , sin B = √22/5  
sin(A+B) = sinA cosB + cosA sinB
= √3/5 * √3/5 + √22/5 * √22/5
= 3/25 * 22/25
= 25/25 
= 1

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Inverse Trigonometry- 2 - Question 3
Save

2cos−1x = cos−1(2x2−1)holds true for all

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 3

This is true for all real values of x ∈ [0,1].

Test: Inverse Trigonometry- 2 - Question 4
Save

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 4

none of these  : 7/25

Test: Inverse Trigonometry- 2 - Question 5
Save

If sin A + cos A = 1, then sin 2A is equal to
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 5

(Sin A + Cos A)2 = sin2A + cos2A + 2 sinAcosA

1 = 1 + Sin 2A

so, Sin 2A = 0

Hence A = 0 

Test: Inverse Trigonometry- 2 - Question 6
Save

When x = π/2, then tan x, is
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 6

tan π/2 = n.d.i.e. not defined.

Test: Inverse Trigonometry- 2 - Question 7
Save

The value of the expression sinθ+cosθ lies between
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 7

Minimum value   

and maximum value = 

Test: Inverse Trigonometry- 2 - Question 8
Save

cos−1(cosx) = x is satisfied by ,
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 8

cos−1(cosx) = x if, 
0⩽x⩽ π i.e. if , x∈ [0,π]

Test: Inverse Trigonometry- 2 - Question 9
Save

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 9








 

Test: Inverse Trigonometry- 2 - Question 10
Save

If ƒ(x) = tan(x), then f-1(1/√(3)) =
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 10

Let F(x) = tanx = y
f(-1) = tany = x
f(-1)(1/√3), tany = 1/√3
y = tan-(1/√3)
=π/6

Test: Inverse Trigonometry- 2 - Question 11
Save

tan x is periodic with period 
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 11

The values of tan x repeats after an interval of π.

Test: Inverse Trigonometry- 2 - Question 12
Save

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 12

Test: Inverse Trigonometry- 2 - Question 13
Save

 is equal to 
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 13




Test: Inverse Trigonometry- 2 - Question 14
Save

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 14


Test: Inverse Trigonometry- 2 - Question 15
Save

 
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 15

The correct option is B.

Test: Inverse Trigonometry- 2 - Question 16
Save

The period of the function f(x) = tan 3x is
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 16

f(x) = tan 3x, as the period of tan x = π. 3x = x = π/3.

Test: Inverse Trigonometry- 2 - Question 17
Save

The range of tan−1 x is
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 17

The range of tan−1x is given by -π/2 to π/2

Test: Inverse Trigonometry- 2 - Question 18
Save

The value of   is (a, b > 0)
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 18



Test: Inverse Trigonometry- 2 - Question 19
Save

The solution of the equation 

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 19



But , x= -1/2 does not satisfy the given equation.

Test: Inverse Trigonometry- 2 - Question 20
Save

 is equal to 
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 20

= tan-1 a - tan-1 b + tan-1c + tan-1c - tan-1a

Test: Inverse Trigonometry- 2 - Question 21
Save

sin2250+sin2650 is equal to
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 21

sin2250 + sin2650 = cos2650 + sin2650 = 1

Test: Inverse Trigonometry- 2 - Question 22
Save

If θ = tan−1x then sin 2θ is equal to
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 22

As we know that : sin 2θ = , now if  θ = tan-1x ⇒ x = tan θ ⇒ sin 2θ = 

Test: Inverse Trigonometry- 2 - Question 23
Save

if x > 0, then tan-1x + tan-1(1/x) is equal to
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 23

Test: Inverse Trigonometry- 2 - Question 24
Save

Detailed Solution for Test: Inverse Trigonometry- 2 - Question 24

Test: Inverse Trigonometry- 2 - Question 25
Save

If and x + y + z = xyz, then a value of tan−1x+tan−1y+tan−1z is
Detailed Solution for Test: Inverse Trigonometry- 2 - Question 25

204 videos|290 docs|139 tests
Join Course
Information about Test: Inverse Trigonometry- 2 Page
In this test you can find the Exam questions for Test: Inverse Trigonometry- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Inverse Trigonometry- 2, 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 Trigonometry- 2

Find all the important questions for Inverse Trigonometry- 2 at EduRev.Get fully prepared for Inverse Trigonometry- 2 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Inverse Trigonometry- 2 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 Trigonometry- 2 resources.

Inverse Trigonometry- 2 MCQs with Answers

Prepare for the Inverse Trigonometry- 2 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 Trigonometry- 2 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 Trigonometry- 2 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