1. how can you determine the exact value of all of the primary and
reciprocal trigonometric ratios for some angles between 0 and using a flow chart explain . This would be a walkthrough of how to answer a question similar to question one in the formative assignment. Concepts you may want to include:
-How to sketch an angle.
-The CAST rule.
-The special triangles.
-An example.2.A person who was listening to a siren noticed that the frequency fluctuated with time, measured in seconds. The minimum frequency was 500 Hz and the maximum frequenccy was 1000 Hz. The maximum frequency occurred at t = 0 and again every 3 seconds. What is the equation of the cosine function that describes the frequency of this siren?
3.Owen is jumping on a trampoline. When his feet hit the deck of the trampoline, the material depresses to a minimum height of 2cm. On average, Owen is reaching a maximum height of 200cm every 10 seconds. Determine the equation of a sinusoidal function that would model this situation, assuming Owen reaches his first maximum at 6 seconds.
4.The water at a local beach has an average depth of one meter at low tide and an average depth at high tide of 8m. One cycle of the tides takes approximately 12 hours. This periodic motion can be modelled by the function d(t)= 3.4 cos [ pie / 6 t} +4.5 where d(t) represents the depth of the water, in metres, at a time t, in hours. This equation assumes that the water level is at high tide at time zero. Many people dive into the water from a nearby dock. If the water must be at least 3m deep to dive safely, when during the daylight hours would it be safe to dive off the dock?
5.Without graphing, determine the average rate of change for the function on the intervals:
--1< x < 1
--2 < x < 2
--10< x < 10each of the greater than or less than signs are supposed to have a dash so greater than or equal too.
What do you notice about your answers for the above intervals? Why do you think that happened?
Graph the function and postulate why this behaviour occurs.
6.How will two even functions or two odd functions, or a mixture of the two combine? Will the result be even, odd, or neither? Complete the following table.
combination sum difference product Quotient
even and even
odd and odd
even and odd
Hint: Choose a couple of even function and a couple of odd functions and use graphing software.