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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the value of tan-1(tan 5π4) - Mathematics

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Question

Find the value of `tan^-1(tan  (5pi)/4)`

Sum

Solution

`tan  (5pi)/4 = tan(pi + pi/4)`

= `tan  pi/4`

So `tan^-1(tan  (5pi)/4) = tan^-1(tan  pi/4)`

= `pi/4`

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The Tangent Function and the Inverse Tangent Function
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.3 [Page 147]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.3 | Q 2. (i) | Page 147
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