Why does sec(pi/4)= sqrt2?

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Why does sec(pi/4)= sqrt2?

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Answer 1 · 2015-09-23T04:52:17

Why does $sec (\frac{π}{4}) = \sqrt{2}$ $sec (pi/4) = sqrt2$

Explanation:

$sec (\frac{π}{4}) = \frac{1}{cos (\frac{π}{4})}$ $sec ((pi)/4) = 1/(cos (pi/4))$
Trig Table of Special arcs gives --> $cos (\frac{π}{4}) = \frac{\sqrt{2}}{2} .$ $cos (pi/4) = sqrt2/2.$
Therefor
$sec (\frac{π}{4}) = \frac{2}{\sqrt{2}} = \sqrt{2}$ $sec (pi/4) = 2/sqrt2 = sqrt2$

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Why does sec(pi/4)= sqrt2?

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