Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Inverse Trigonometric Functions

NDA 2011 · Mathematics · Inverse Trigonometric Functions

Consider the following: 1. cosec^ -1 (- 2 3 )=-(π)/(3) 2. ^ -1 ( 2...

Consider the following: 1. cosec⁡−1(−23)=−π3\operatorname{cosec}^{-1}\left(-\frac{2}{\sqrt{3}}\right)=-\frac{\pi}{3} 2. sec⁡−1(23)=π6\sec ^{-1}\left(\frac{2}{\sqrt{3}}\right)=\frac{\pi}{6} Which of the above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

D. Neither 1 nor 2

Step-by-step solution

The correct answer is option (D).
Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

Consider the following in respect of inverse circular functions : I. ^ -1 (-x)=- ^ -1 x… NDA 2026What is [2 ^ -1 (1)/(2)-(π)/(4)] equal to ? NDA 2026If ^ -1 k + ^ -1 (1)/(2) = (π)/(4) , then what is the value of k ? NDA 2025What is the value of [(1)/(2) ^ -1 ( 2 3 )]? NDA 2025Consider the following for the two (02) items that follow: Let y = ^ -1 (x - (4x^3)/(27))… NDA 2025If k is a root of x^2 - 4x + 1 = 0 , then what is ^ -1 k + ^ -1 (1)/(k) equal to? NDA 2025What is ^ -1 9 + cosec^ -1 ( 41 4 ) equal to? NDA 2025What is ^2 ( ^ -1 2)+ ^2 (cosec^ -1 3) equal to? NDA 2024If ^ -1 x= ^ -1 x , then which one of the following is correct? NDA 2024What is 15+ ^2((π)/(4)-2 ^ -1 3) equal to? NDA 2024If 4 ^ -1 x+ ^ -1 x=π , then what is ^ -1 x+4 ^ -1 x equal to? NDA 2024What is ^ -1 ((a)/(b))- ^ -1 ((a-b)/(a+b))equal to? NDA 2024What is 2 ((1)/(2) ^ -1 5 3 )equal to? NDA 2023If ^ -1 p-cosec^ -1 q=0 , where p > 0, q > 0 ; then what is the value of ^ -2 + ^ -2 ? NDA 2023What is 1+ ^2 ( ^ -1 ( 3 17 ))equal to? NDA 2023What is ^ -1 (cosec^ -1 2) equal to? NDA 2022 Full Inverse Trigonometric Functions list Inverse Trigonometric Functions JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs