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Name: Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 33
Uploaded: Mon, 2021-07-26 19:01
Description: Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 33

#Maths
#School
#CBSE 12 Class
#RD Sharma Vol. 1 Class 12
#Inverse Trigonometric Functions
#R.D. Sharma

#1.3
#3.1
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#9.12
#3.10
#Fill in the blanks
#Very Short Answer type
#Multiple Choice Questions (MCQs)
#18.1
#3.14
#3.13

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Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 33

Answers (1)

Answer:

$\pi-\cot^{-1}x$

Hints:

You must have know about the rules of inverse functions

Given:

$\cot^{-1}\left ( -x \right )$ for all $x\: \epsilon \: R$ in terms of $\cot^{-1}x$ is

Solutions:

Let $\cot^{-1}\left ( -x \right )=\theta$

$\cot\theta=-x$

$\cot\left ( \pi-\theta \right )=x$

$\pi-\theta=\cot^{-1}x$

$\theta=\pi-\cot^{-1}x$

$\therefore \cot^{-1}\left ( -x \right ) = \pi-\cot^{-1}x$ for $x\: \epsilon \: R$ .

Posted by

infoexpert27

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Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 33

Answers (1)

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