Find the secant value of angle $frac{pi}{3}$ on the unit circle
Answer 1
Isabella Walker
To find the secant value, we first need to know the cosine value of the given angle on the unit circle.
The angle $\frac{\pi}{3}$ corresponds to an angle of $60^\circ$.
On the unit circle, the cosine of $\frac{\pi}{3}$ is $\frac{1}{2}$.
The secant is the reciprocal of the cosine:
$\sec\left(\frac{\pi}{3}\right) = \frac{1}{\cos\left(\frac{\pi}{3}\right)} = \frac{1}{\frac{1}{2}} = 2$
Answer 2
Joseph Robinson
We begin by identifying the cosine value of angle $frac{pi}{3}$ on the unit circle.
The angle $frac{pi}{3}$ is equivalent to $60^circ$.
From the unit circle, $cosleft(frac{pi}{3}
ight) = frac{1}{2}$.
The secant function is defined as the reciprocal of the cosine function:
$secleft(frac{pi}{3}
ight) = frac{1}{cosleft(frac{pi}{3}
ight)} = frac{1}{frac{1}{2}} = 2$
Answer 3
Samuel Scott
Find the cosine of $frac{pi}{3}$, which is $frac{1}{2}$.
The secant is the reciprocal:
$secleft(frac{pi}{3}
ight) = 2$
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