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Evaluate: `Cot(Tan^-1a+Cot^-1a)`

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Question

Evaluate:

`cot(tan^-1a+cot^-1a)`

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Solution

`cot(tan^-1a+cot^-1a)`

`=cot(pi/2)`        `[thereforetan^-1x+cot^-1x=pi/2]`

= 0

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.10 [Page 66]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.10 | Q 1.4 | Page 66
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