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

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions

Fill in the Blanks

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

JEE Advanced (Fill in the Blanks): Inverse Trigonometric FunctionsJEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions

Then  tan θ = _________

Ans. 0

Solution. Let a + b + c = u, then

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions

[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 equal to _________

Ans. -7/17

Solution. 

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions


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
⇒  A > 2π /3    ... (1)

Also B = 3 sin-1 (1/3) + sin-1(3/5)

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions
JEE Advanced (Fill in the Blanks): Inverse Trigonometric FunctionsJEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions

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

The document JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions is a part of the JEE Course Chapter-wise Tests for JEE Main & Advanced.
All you need of JEE at this link: JEE
Explore Courses for JEE exam
Get EduRev Notes directly in your Google search
Related Searches
study material, JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions, video lectures, practice quizzes, Important questions, JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions, pdf , Previous Year Questions with Solutions, JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions, MCQs, Free, Semester Notes, Objective type Questions, Exam, mock tests for examination, Extra Questions, Summary, past year papers, shortcuts and tricks, Viva Questions, ppt, Sample Paper;