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  • Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.10 Question 1 Subquestion (iv) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.10 Question 1 Subquestion (iv) Maths Textbook Solution.

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Answer: 0
Hint: Check properties of trigonometric functions
Given:\cot\left ( \tan^{-1}a+\cot^{-1}a \right ) f\! or\: x < 0
Solution:
We know that,\tan^{-1}x +\cot^{-1} x= \frac{\pi }{2}
Therefore \Rightarrow \cot\left ( \tan^{-1}a+\cot^{-1}a \right )
\Rightarrow \cot = \frac{\pi }{2}
= 0\! \: \: \: \: \: \: \left [ \frac{\pi }{2}\: \epsilon \: \left [ 0,\pi \right ] \right ]
Concept: Properties and relations between inverse trigonometric functions.
Note: Deriving value of other trigonometric functions from basic sine and cosine functions.    

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