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How do you evaluate $sec(25pi/6)$ ?

1 Answer

Apr 19, 2016

$sec(25pi/6)=2/sqrt(3)$

Explanation:

$(25pi)/6 = 2xx(2pi)+pi/6$
Each $2pi$ represents one complete rotation about the origin.
So
$color(white)("XXX")(25pi)/6=pi/6$
enter image source here

By definition $sec = "hypotenuse"/"adjacent"$

So $sec((25pi)/6)=sec(pi/6)=2/sqrt(3)$

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