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Evaluate the Following: `Tan^-1(Tan (9pi)/4)` - Mathematics

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Question

Evaluate the following:

`tan^-1(tan  (9pi)/4)`

Solution

We know that

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

We have 

`tan^-1(tan  (9pi)/4)=tan^-1[tan(2pi+pi/4)]`

`=tan^-1[tan(pi/4)]`

`=pi/4`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.07 [Page 42]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 3.4 | Page 42

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