In this activity, you’ll use the unit circle to plot the values for the sine and cosine functions on a coordinate plane. Explore the relationship between the unit circle and the sine and cosine functions using this simulation.

Set up the activity by selecting Radians, Special Angles, and Labels.

Part A
In the simulation, select the sin button. Then move the red point around the unit circle. Notice what happens to the values of x, y, and sin(0) as the point moves around the circle.

Consider the patterns revealed by the unit circle. Use these patterns to plot the points of the sine function.

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?