Option a: [tex]\frac{3}{5}[/tex] is the value of [tex]\cos \theta[/tex]
Explanation:
From the diagram, we can see the coordinates (0.6,0.8) which is the value of x-coordinate and y-coordinate.
To determine the value of [tex]\cos \theta[/tex], we shall use the formula for [tex]\cos \theta[/tex] which is given by
[tex]\cos \theta=\frac{a d j}{h y p}[/tex]
Here, the adjacent side is the x-coordinate which gives the value 0.6 and the hypotenuse which gives the value [tex]r=1[/tex]
Thus, substituting the values of x-coordinate and the hypotenuse, we get,
[tex]\cos \theta=\frac{0.6}{1}[/tex]
Dividing, we get,
[tex]\cos \theta=0.6[/tex]
Writing it as fraction, we have,
[tex]\cos \theta=\frac{3}{5}[/tex]
Thus, the value of [tex]\cos \theta[/tex] is [tex]\frac{3}{5}[/tex]
