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 29 Maths Textbbok Solution.

Please Solve R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 29 Maths Textbbok Solution.

Answers (1)

Answer: 7

Hint: Try to solve \cot ^{-1} function, then move to cot function.

Given: \cot \left(\frac{\pi}{4}-2 \cot ^{-1} 3\right)

Solution:

Let 2 \cot ^{-1} 3=y

Then\cot \frac{y}{2}=3

\cot \left(\frac{\pi}{4}-2 \cot ^{-1} 3\right)=\cot \left(\frac{\pi}{4}-y\right)

                                        =\frac{\cot \frac{\pi}{4} \cot y+1}{\cot y-\cot \frac{\pi}{4}}

                                        =\frac{\cot y+1}{\cot y-1}

                                        =\frac{\frac{\cot ^{2} \frac{y}{2}-1}{2 \cot \frac{y}{2}}+1}{\frac{\cot ^{2} \frac{y}{2}-1}{2 \cot \frac{y}{2}}-1}

                                        =\frac{\cot ^{2} \frac{y}{2}+2 \cot \frac{y}{2}-1}{\cot ^{2} \frac{y}{2}-2 \cot \frac{y}{2}-1}

                                        \begin{aligned} &=\frac{9+6-1}{9-6-1} \\ &=7 \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 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
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question