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.

The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?

What is the period of the function ?

Which expression is equivalent to 30°?

What is the equation of the graph below?

Which expression is equivalent to ?

Which transformation should be applied to the graph of the function to obtain the graph of the function ?

How many degrees is radians?

What is the exact value of ?

Which functions are symmetric with respect to the origin?

Given: cos(3x – 180°) = , where 0 ≤ x < 180°Which values represent the solutions to the equation?

Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?

Which of the following is the equation of the function below?

When simplified, is equivalent to which expression?