Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma math class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 6

Provide solution for RD Sharma math class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 6

Answers (1)

Answer: \frac{\pi}{2}

Given:

\tan ^{-1} x+\tan ^{-1}\left(\frac{1}{x}\right) \ \ \text \ \ { for } \ \ x>0

Hint:

\tan ^{-1} x+\tan ^{-1}\left(\frac{1}{x}\right)=\tan ^{-1}\left(\frac{x+\frac{1}{x}}{1-x\frac{1}{x}}\right), x>0

Solution:     

\begin{aligned} \tan ^{-1} x+\tan ^{-1}\left(\frac{1}{x}\right) &=\tan ^{-1}\left(\frac{x^{2}+1}{0}\right) \\ &=\tan ^{-1}(\infty) \\ &=\tan ^{-1}\left(\tan \frac{\pi}{2}\right) \\ &=\frac{\pi}{2} \end{aligned}

Posted by

infoexpert22

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question