Find the value of $sec(frac{pi}{3})$ on the unit circle
Answer 1
Olivia Lee
To find the value of $\sec(\frac{\pi}{3})$, we need to first determine the cosine of $\frac{\pi}{3}$.
On the unit circle, $\cos(\frac{\pi}{3}) = \frac{1}{2}$.
The secant function is the reciprocal of the cosine function, so
$\sec(\frac{\pi}{3}) = \frac{1}{\cos(\frac{\pi}{3})} = \frac{1}{\frac{1}{2}} = 2$
Answer 2
Thomas Walker
To determine $sec(frac{pi}{3})$, we start with the cosine value at $frac{pi}{3}$.
The unit circle tells us that $cos(frac{pi}{3}) = frac{1}{2}$.
Using the definition of secant:
$sec(frac{pi}{3}) = frac{1}{cos(frac{pi}{3})}$
Substituting $cos(frac{pi}{3})$ gives us:
$sec(frac{pi}{3}) = frac{1}{frac{1}{2}} = 2$
Answer 3
Henry Green
Given $sec(frac{pi}{3})$, we know $cos(frac{pi}{3})$ from the unit circle is $frac{1}{2}$.
Thus,
$sec(frac{pi}{3}) = frac{1}{frac{1}{2}} = 2$
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