the correct answer is A. F, as this is the point at the top of the unit circle, where the sine is 1 and the cosine is 0.
The sine of an angle in the unit circle corresponds to the y-coordinate of the point where the terminal side of the angle intersects the circle, and the cosine corresponds to the x-coordinate.
An angle with a sine of 1 and a cosine of 0 would be located at the top of the unit circle, where the y-coordinate is at its maximum (1) and the x-coordinate is at the center (0). This is where the terminal side of the angle would intersect the circle if we started from the positive x-axis and moved counter-clockwise 90 degrees or π/2 radians.
Looking at the standard positions of points on a unit circle:
- Point A is typically at (1,0), which would have a sine of 0 and a cosine of 1.
- Point F is typically at (0,1), which would have a sine of 1 and a cosine of 0.
- Point J is typically at (-1,0), which would have a sine of 0 and a cosine of -1.
- Point N is typically at (0,-1), which would have a sine of -1 and a cosine of 0.
Given the information, the correct answer is A. F, as this is the point at the top of the unit circle, where the sine is 1 and the cosine is 0.