Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
the angle 60° is shown below in standard position, together with a unit circle.
use the coordinates of the point of intersection of the terminal side and the circle to compute sec 60°.
√3/2 1/2 2√3/3 2

Explanation:

Step1: Recall the definition of secant

The secant of an angle in standard position is defined as \(\sec\theta=\frac{1}{\cos\theta}\).

Step2: Recall the \(x -\) coordinate of the point on the unit circle

For a unit circle \(x = \cos\theta\). Given the point of intersection \((\frac{1}{2},\frac{\sqrt{3}}{2})\) for \(\theta = 60^{\circ}\), we have \(\cos60^{\circ}=\frac{1}{2}\).

Step3: Calculate \(\sec60^{\circ}\)

Substitute \(\cos60^{\circ}=\frac{1}{2}\) into the formula \(\sec\theta=\frac{1}{\cos\theta}\). So \(\sec60^{\circ}=\frac{1}{\frac{1}{2}} = 2\).

Answer:

\(2\)