Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 19

Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 19

Answers (1)

Answer:

                \pm \frac{\pi}{6}

Hint:

You must know the rules of inverse trigonometric function.

Given:

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

Solution:

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

\Rightarrow \cot\theta=\tan2\theta        

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

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

\Rightarrow 3\tan^{2}\theta=1        

\Rightarrow \tan^{2}\theta=\frac{1}{3}        

\Rightarrow \tan\theta=\pm \frac{1}{\sqrt{3}}        

\Rightarrow \theta=\pm \frac{\pi}{6}        

Posted by

infoexpert27

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