Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 30 Maths Textbbok Solution.

Please Solve R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 30 Maths Textbbok Solution.

Answers (1)

Answer: \pm \frac{\pi}{6}

Hint: Try to solve \tan ^{-1} function and cot function.

Given: \tan ^{-1}(\cot \theta)=2 \theta

Solution:

\tan ^{-1}(\cot \theta)=2 \theta

\tan 2 \theta=\cot \theta

\frac{2 \tan \theta}{1-\tan ^{2} \theta}=\frac{1}{\tan \theta}

2 \tan ^{2} \theta=1-\tan ^{2} \theta

\begin{aligned} &3 \tan ^{2} \theta=1 \\ &\tan ^{2} \theta=\frac{1}{3} \\ &\tan \theta=\pm \frac{1}{\sqrt{3}} \\ &\theta=\pm \frac{\pi}{6} \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 Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question