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 R.D.Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 18 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 18 Maths Textbook Solution.

Answers (1)

Answer: \frac{1}{5}

Hint: \tan ^{-1} x+\tan ^{-1} y=\tan ^{-1} \frac{x+y}{1-x y}

Given: \tan ^{-1} 3+\tan ^{-1} x=\tan ^{-1} 8

We have to compute x.

Solution:

We know that,

\begin{aligned} &\tan ^{-1} 3+\tan ^{-1} x=\tan ^{-1} 8 \\ &\tan ^{-1}\left(\frac{3+x}{1-3 x}\right)=\tan ^{-1} 8 \end{aligned}

\left(\frac{3+x}{1-3 x}\right)=8

\begin{aligned} &3+x=8-24 x \\ &3-8=-24 \mathrm{x}-\mathrm{x} \\ &25 x=5 \\ &\mathrm{x}=\frac{1}{5} \end{aligned}

Posted by

infoexpert21

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 12th Results LIVE: Class 12 marksheet on cbse.gov.in, DigiLocker soon; OSM system, passing marks
anam-khan

CBSE 12th Result 2026 Date LIVE: Class 12 results at cbse.gov.in soon; how to check on Digilocker, Umang
anam-khan

CBSE 12th Result 2026 Date: Here’s what previous years’ trends indicate

Latest Question