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Evaluate the Following: `Tan^-1(Tan2)`

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Question

Evaluate the following:

`tan^-1(tan2)`

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Solution

We know that

`tan^-1(tantheta)=theta,   -pi/2<theta<pi/2`

We have 

`tan^-1(tan2)=tan^-1[tan(-pi+2)]`

= 2 - π

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.07 [Page 42]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.07 | Q 3.6 | Page 42
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