Trigonometry · NDA previous year questions

2021 27 questions

1. Q1002021 · 18 Apr 2021

   What is $\int \frac{\mathrm{d}x}{\sec x+\tan x}$ equal to?

   1. A.$\ln (\sec x)+\ln |\sec x+\tan x|+c$
   2. B.$\ln (\sec x)-\ln |\sec x+\tan x|+c$
   3. C.$\sec x\tan x-\ln |\sec x-\tan x|+c$
   4. D.$\ln |\sec x+\tan x|-\ln |\sec x|+c$
   Show answer

   Answer: D

2. Q1012021 · 18 Apr 2021

   What is $\int \frac{\mathrm{d}x}{{\sec }^2({\tan }^{-1}x)}$ equal to?

   1. A.${\sin }^{-1}x+c$
   2. B.${\tan }^{-1}x+c$
   3. C.${\sec }^{-1}x+c$
   4. D.${\cos }^{-1}x+c$
   Show answer

   Answer: B