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Domain and Range of Basic Inverse Trigonometric Functions

Find the valu...

Question

Find the value of :
$c o s^{- 1} (\frac{1}{2}) + t a n^{- 1} (\frac{1}{\sqrt{3}})$

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Solution

$c o s^{- 1} (\frac{1}{2}) + t a n^{- 1} (\frac{1}{\sqrt{3}})$
$= c o s^{- 1} (c o s 60^{o}) + t a n^{- 1} (t a n 30^{o})$
$= 60^{o} + 30^{o}$
$= 90^{o}$

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