a One lap around the unit circle corresponds to a circumference of 2π which approximates to 6.27 units. This must mean that 6 radians corresponds to an angle that is a little less than 360^(∘).
To approximate 6 rad, let's show an angle of 330^(∘).
As we can see, 6 rad is almost halfway between 330^(∘) and 360^(∘). Therefore, we can approximate how many degrees 6 rad corresponds to with 345^(∘).
b To estimate the sine of 6 radians, we will add some gridlines to the diagram. Notice that sine is given by the vertical axis, which means to find the sine value we have to draw a horizontal line through the point on the unit circle where we have 6 radians.
From the diagram, we see that 6 radians corresponds to a sine value of about - 0.3.
