Tiffany Russell
2021-12-16
Answered

Why does $\mathrm{sec}\left(\frac{\pi}{4}\right)=\sqrt{2}$ ?

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yotaniwc

Answered 2021-12-17
Author has **34** answers

Explanation:

$\mathrm{sec}\left(\frac{\pi}{4}\right)=\frac{1}{\mathrm{cos}\left(\frac{\pi}{4}\right)}$

Trig Table of Special arcs gives -->$\mathrm{cos}\left(\frac{\pi}{4}\right)=\frac{\sqrt{2}}{2}$

Therefore

$\mathrm{sec}\left(\frac{\pi}{4}\right)=\frac{2}{\sqrt{2}}=\sqrt{2}$

Trig Table of Special arcs gives -->

Therefore

amarantha41

Answered 2021-12-18
Author has **38** answers

thanks a lot

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