Question

question 14 of 25
on a unit circle, the terminal point of θ is (\\(\frac{1}{2}\\), \\(\frac{\sqrt{3}}{2}\\)). what is \\(\cos\theta\\)?
○ a \\(\frac{1}{2}\\)
○ b \\(\sqrt{3}\\)
○ c \\(\sqrt{3}\\)
○ d \\(\frac{\sqrt{3}}{2}\\)

Explanation:

Step1: Recall the definition of cosine on a unit circle

On a unit circle, for a terminal point \((x,y)\) of an angle \(\theta\), \(\cos\theta=x\).

Step2: Identify the \(x\) - coordinate of the given terminal point

The given terminal point is \((\frac{1}{2},\frac{\sqrt{3}}{2})\), and the \(x\) - coordinate is \(\frac{1}{2}\).

Answer:

A. \(\frac{1}{2}\)