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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the principal value of tan-1(3) - Mathematics

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Question

Find the principal value of `tan^-1 (sqrt(3))`

Sum

Solution

Let y = `tan^-1 (sqrt(3))`

Where `- pi/2 ≤ y ≤ pi/2`

tan y = `sqrt(3)`

= `tan (pi/3)`

y = `pi/3`

∴ The  principal value of `tan^-1 (sqrt(3)) = pi/3`

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Chapter 3: Trigonometry - Exercise 3.11 [Page 149]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.11 | Q 1. (v) | Page 149
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