1. Determine whether each statement is true or false. if the statement is true, explain or justify. If the statement is false, modify it so that it becomes true

a. the domain of y= cot x is{xxR,x=(2n+1)2}

b. cos(x-90)= sin(x)

c. Suppose that f defines a sine function with period 10 and f(5)=3 . Then f(25)=3

2. A wind turbine with blades that are 50 yards long, spins due to wind at 10 miles per hour. Given that the linear velocity of the blade is approximately equivalent to the wind speed, what is the angular velocity of the wind turbine?

3. How far will the small bug who sits on the tip of a minute hand of a grandfather clock travel in the time it takes for the minute hand of a clock to sweep out an area of 128 inches squared if the minute hand has a length of 8 inches?

4. Using the ray, x - 3y = 0 for x0, as the terminal side of an angle in standard position, find all six trig functions of .