Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 53 maths textbook solution

Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 53 maths textbook solution

Answers (1)

Answer:  -\pi-\cot ^{-1} x\\

Given

\tan ^{-1}\left(\frac{1}{x}\right) \text { for } x<0  in terms of \cot ^{-1} x\

Hint:

\tan ^{-1}\left(\frac{1}{x}\right)=\tan ^{-1}\left(-\frac{1}{x}\right) for x<0

Solution:        

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

Posted by

infoexpert22

View full answer
CUET Prep

Similar Questions

Trending Articles/News

anam-khan

PM Modi at Pariksha Pe Charcha 2023: ‘Ignore those who throw allegations at you’
anam-khan

Pariksha Pe Charcha 2023: Prime Minister Narendra Modi to interact with students today
anam-khan

CBSE 2023 Exam Live: CBSE class 10, 12 admit card link soon at cbse.gov.in; Sample papers

Latest Question