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Monotonically Increasing Functions

Calculate. a...

Question

Calculate.
$a r c tan 1 + a r c cos (- \frac{1}{2}) + a r c sin (- \frac{1}{2}) = ?$

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Solution

$a r c t a n 1 + a r c c o s (- \frac{1}{2}) + a r c s i n (- \frac{1}{2})$
$= π / 4 + π - π / 3 - π / 6 = \frac{3 π + 12 π - 4 π - 2 π}{12}$
$= \frac{3 π}{12} = \frac{3 π}{4}$

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