Dezember 28, 2019

von Abbe

Wie bewerten Sie $sec (\frac{π}{3})$ $sec (pi / 3)$ ?

Antworten:

2

Erläuterung:

$sec x = \frac{1}{cos x}$ $secx = 1/cosx$

$\Rightarrow sec (\frac{π}{3}) = \frac{1}{cos (\frac{π}{3})}$ $rArr sec(pi/3) = 1/cos(pi/3)$

Using the $\frac{π}{3}, \frac{π}{6}, \frac{π}{2} triangle$ $pi/3 , pi/6 , pi/2 " triangle "$

with sides of length 1 , $\sqrt{3} and 2$ $sqrt3 " and " 2$

we can obtain the exact value of $cos (\frac{π}{3}) = \frac{1}{2}$ $cos(pi/3) = 1/2$

$\Rightarrow sec (\frac{π}{3}) = \frac{1}{\frac{1}{2}} = 2$ $rArr sec(pi/3) = 1/(1/2) = 2$