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Question
Find the principal value of `sec^-1 (2/sqrt(3))`
Sum
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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`
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.4 [Page 154]
