Question

The angle 60° is shown below in standard position, together with a unit circle. a 60° Use the coordinates of the point of intersection of the terminal side and the circle to compute sec 60° V3 2 Ο Ο 2 2

Answer 1

Given:

The coordinates,

`((1)/(2),\frac{\sqrt[]{3}}{2})`

The angle is 60 degrees.

The hypotenuse side is 1.

To find:

`\sec 60^(\circ)`

From the coordinates,

The horizontal side (adjacent side) is,

`(1)/(2)`

The vertical side (opposite side) is,

`\frac{\sqrt[]{3}}{2}`

Using the trigonometric ratio,

`\begin{gathered} \sec \theta=\frac{\text{hyp}}{\text{adj}} \\ \sec 60^(\circ)=(1)/((1)/(2)) \\ =2 \end{gathered}`

Therefore, the answer is 2.