Tamil Nadu Board of Secondary EducationHSC Arts Class 12th

Find the principal value of sec-1(23) - Mathematics

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Sum

Find the principal value of `sec^-1 (2/sqrt(3))`

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Solution

Let `sec^-1 (2/sqrt(3))` = θ

⇒ sec θ = `2/sqrt(3)`

⇒ cos θ = `sqrt(3)/2`

= `cos  pi/6`

⇒ θ = `pi/6`

Concept: Principal Value of Inverse Trigonometric Functions
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 12th Mathematics Volume 1 and 2 Answers Guide
Chapter 4 Inverse Trigonometric Functions
Exercise 4.4 | Q 1. (i) | Page 154
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