Chapter Test
Chapter
Chapter 6
Section
Chapter Test
Solutions 8 Videos

Which trigonometric function has an asymptote at x = \frac{5\pi}{2} ?

Q1

Which expression does not have the same value as all the other expressions?

\displaystyle \sin \frac{3\pi}{2}, \cos \pi, \tan \frac{7\pi}{4}, \csc \frac{3\pi}{2}, \sec 2\pi, \cot \frac{3\pi}{4} 

Q2

The function y= \cos x is reflected in the x-axis, vertically stretched by a factor of 12, horizontally compressed by a factor of 3, horizontally translated 6 units to the left, and vertically translated 100 units up. Determine the value of the new function, to the nearest tenth, when x = \frac{5\pi}{4}.

Q3

The daily high temperature of a city, in degrees Celsius, as a function of the number of days into the year, can be described by the function \displaystyle T(d) = -20\cos(\frac{2\pi}{365}(d -10)) + 25 . What is the average rate of change, in degrees Celsius per day, of the daily high temperature fo the city from February 21 to May 8?

Q4

Arrange the following angles in order, from smallest to largest:

\displaystyle \frac{5\pi}{8}, 113^o, \frac{2\pi}{3}, 110^o, \frac{3\pi}{5} 

Q5

Write an equivalent sine function for \displaystyle y = \cos(x + \frac{\pi}{8}) .

Q6

The point (5, y) lies on the terminal arm of an angle in standard position. If the angle measures 4.8775 radians, what is the value of y to the nearest unit?

Q7

The temperature, T, in degrees Celsius, of the surface water in a swimming pool varies according to the following graph, where t is the number of hours since sunrise at 6 a.m. a) Find a possible equation for the temperature of the surface water as a function of time.

b) Calculate the average rate of change in water temperature from sunrise to noon.

c) Estimate the instantaneous rate of change in water temperature at 6 p.m.