Low and high tides can be roughly modelled by a cosine or sine curve for one cycle (about 12 hours). Over days and weeks, the maximums (high tides) and minimums (low tides) change due to the relationships between the Sun, Moon, and Earth. Depending on where you are in Canada (East Coast, Great Lakes, Arctic, or West Coast) or the world, low and high tides are very different. you will model real tide predictions using trigonometric functions.

Step 1:Click here https://www.tides.gc.ca/tides/en/stations and select a region to see tide predictions.

Record the region and date of your choosing.

Summarize 2-3 days worth of low and high tide data using a table like the one shown below (you will need to convert the time to decimals; if you think of midnight on the first day as 0 hour, then midnight on day two would then be 24 hours, and so on).

Time	Height (m)

Step 2:UsingDesmos, construct a scatter plot with the time on the x-axis (as the independent variable) and the height on the y-axis (as the dependent variable). Save your scatter plot as you will need it for step 4.

Step 3: Show all work and calculations to determine a sine functionand a cosine function that model the data you have researched.Provide a detailed explanation of the steps you took to determine the value of the parameters in each of your equations.

Step 4: UseDesmosto plot both of your trigonometric functions on the same graph as your data points from Step 2. Include your Desmos graph in your submission.

Step 5: Provide a detailed reflection on the accuracy of both of your models. Propose reasons for any inaccuracies or irregularities.