JEE Exam  >  JEE Notes  >  Chapter-wise Tests for JEE Main & Advanced  >  JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced PDF Download

Fill in the Blanks

Q. 1. Let a, b, c be positive real numbers. Let

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & AdvancedJEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

Then  tan θ = _________

Ans. 0

Solution. Let a + b + c = u, then

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

[Using tan–1 (– x) = – tan–1 x] = π
∴ tan θ = tan π = 0


Q. 2. The numerical value of tan JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced equal to _________

Ans. -7/17

Solution. 

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced


Q. 3. The greater of the two angles A = 2 tan -1 (2 √2 - 1) and B = 3 sin -1 (1/3) + sin -1 (3/5) is _________ .

Ans. A

Solution. We have

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
⇒  A > 2π /3    ... (1)

Also B = 3 sin–1 (1/3) + sin–1(3/5)

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & AdvancedJEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

⇒ B < 2π /3 ....(2)
From (1) and (2) we conclude A > B.

The document JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced is a part of the JEE Course Chapter-wise Tests for JEE Main & Advanced.
All you need of JEE at this link: JEE
447 docs|930 tests

Top Courses for JEE

447 docs|930 tests
Download as PDF
Explore Courses for JEE exam

Top Courses for JEE

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

study material

,

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

,

Objective type Questions

,

Viva Questions

,

Summary

,

mock tests for examination

,

practice quizzes

,

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

,

Important questions

,

MCQs

,

Exam

,

Semester Notes

,

past year papers

,

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

,

Sample Paper

,

shortcuts and tricks

,

pdf

,

ppt

,

Free

,

Previous Year Questions with Solutions

,

video lectures

,

Extra Questions

;