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Name: Need solution for RD Sharma maths class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 55 math
Uploaded: Sat, 2021-08-07 14:54
Description: Need solution for RD Sharma maths class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 55 math

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

#1.3
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#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 exercise Very short answer question 55 math

Answers (1)

Answer: $\frac{\sqrt{3}}{2}$

Given:

$\cos \left(\frac{\tan ^{-1} x+\cot ^{-1} x}{3}\right) when \ \ x=-\frac{1}{\sqrt{3}}$

Hint:

$\tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}$

Solution:

$\begin{aligned} \cos \left(\frac{\tan ^{-1} x+\cot ^{-1} x}{3}\right) &=\cos \left(\frac{\pi}{6}\right) \\ &=\frac{\sqrt{3}}{2} \end{aligned}$

Posted by

infoexpert22

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Need solution for RD Sharma maths class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 55 math

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