Answer:
[tex]\cos\theta=0.6[/tex]
Step-by-step explanation:
Method 1
The given diagram is the unit circle.
The terminal side of the angle [tex]\theta[/tex] intersected the unit circle at [tex](0.6,0.8)[/tex].
On the unit circle, the cosine of the angle in standard position is the x-value of the point. That is,
[tex]cos\theta=x[/tex]
The x-value of the given point is [tex]0.6[/tex].
[tex]\therefore \cos\theta =0.6[/tex]
Method 2
See diagram in attachment.
[tex]\cos\theta=\frac{adjacent}{hypotenuse}[/tex]
[tex]\cos\theta=\frac{0.6}{1}[/tex]
[tex]\cos\theta=0.6[/tex]
