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Tamil Nadu Board of Secondary EducationHSC Science Class 12

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

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Question

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

Sum

Solution

Let `sec^-1 (2/sqrt(3))` = θ

⇒ sec θ = `2/sqrt(3)`

⇒ cos θ = `sqrt(3)/2`

= `cos  pi/6`

⇒ θ = `pi/6`

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Principal Value of Inverse Trigonometric Functions
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.4 [Page 154]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.4 | Q 1. (i) | Page 154
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