Trigonometric Difference Identities Answers

Over which interval is the graph of y = cos(x) strictly increasing?

In which quadrant(s) is csc(x) positive?

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

Consider the function y = cos(x). Which change would increase the period by a factor of 3?

Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.