Writing in Math, algebra homework help

Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it.

1. OPEN ENDED Write an equation giving the value of the Cosine function for an angle measure in its domain. Then, write your equation in the form of an inverse function.
2. OPEN ENDED Write the equation of a trigonometric function with a phase shift of -45°. Then graph the function, and its parent graph.
3. Writing in Math If the formula for the temperature T in degrees Fahrenheit of a city t months into the year is given by T = 50 + 25 sin(6t), explain how to find the average temperature and the maximum and minimum predicted over the year.
4. Writing in Math Use the information on page 842 (attached below) to explain how you can predict the behavior of tides. Explain why certain tidal characteristics follow the patterns seen in the graph of the sine function.

High Tide
Period
GET READY for the Lesson
The rise and fall of tides can have
great impact on the communities
and ecosystems that depend
upon them. One type of tide is a
semidiurnal tide. This means that
bodies of water, like the Atlantic
Ocean, have two high tides and
two low tides a day. Because
tides are periodic, they behave
the same way each day.
Tidal
Range
Still Water
Level
Low Tide