1.

What is the principle value of \(sec^{-1}⁡(\frac{2}{\sqrt{3}})\).(a) \(\frac{π}{6}\)(b) \(\frac{π}{3}\)(c) \(\frac{π}{4}\)(d) \(\frac{π}{2}\)I have been asked this question during an interview for a job.My question is based upon Inverse Trigonometric Functions Basics in section Inverse Trigonometric Functions of Mathematics – Class 12

Answer» RIGHT option is (a) \(\FRAC{π}{6}\)

To ELABORATE: Let \(SEC^{-1}⁡(\frac{2}{\sqrt{3}})\)=y

sec⁡ y=\(\frac{2}{\sqrt{3}}\)

sec⁡ y=sec \(⁡\frac{π}{6}\)

⇒y=\(\frac{π}{6}\)


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