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 10 Differentiation Exercise 10.3 Question 12 Sub Question 2 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 10 Differentiation Exercise 10.3  Question 12 Sub Question 2 Maths Textbook Solution.

Answers (1)

Answer:

\frac{dy}{dx}=\frac{1}{2}

Hint:

\cos 2x=2\cos ^{2}x-1

\tan \left ( \frac{\pi }{2} -\theta \right )=\cot \theta

Given:

\tan ^{-1}\left \{ \frac{1+\cos x}{sinx} \right \}

Solution:

\begin{aligned} &y=\tan ^{-1}\left\{\frac{1+\cos x}{\sin x}\right\} \\ &y=\tan ^{-1}\left\{\frac{2 \cos ^{2} \frac{x}{2}}{2 \sin \frac{x}{2} \cos \frac{x}{2}}\right\} \\ &y=\tan ^{-1}\left(\cot \frac{x}{2}\right) \\ &y=\tan ^{-1}\left(\tan \left(\frac{\pi}{2}-\frac{x}{2}\right)\right) \end{aligned}                                \left [ \left ( \frac{\pi }{2} -\theta \right )=\cot \theta \right ]

y=\frac{x}{2}

Differentiating w.r.t x

\frac{dy}{dx}=\frac{1}{2}

Solution:

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question