To find the terminal point on the unit circle determined by an angle of 2 radians, we can use the trigonometric functions sine and cosine.
The unit circle is a circle with a radius of 1 centered at the origin (0, 0) in the Cartesian coordinate system.
To find the x-coordinate (cosine value) of the terminal point, we use the cosine function:
x = cos(2 radians).
To find the y-coordinate (sine value) of the terminal point, we use the sine function:
y = sin(2 radians).
Calculating these values:
x = cos(2 radians) ≈ -0.416
y = sin(2 radians) ≈ 0.909
Therefore, the terminal point on the unit circle determined by 2 radians is approximately (-0.416, 0.909).