King Fahd University of Petroleum and Minerals

Faculty of Science Per-Year Math Program

Math 002 - Term 032

Recitation hour (5.5 & 5.7)






Graph of the six trigonometric functions over one complete period.






For the function


a)     Find the amplitude, the period, the phase shift, the vertical translation, and the range.

b)    Graph the function over one complete period.





Consider the function


a)     Find the period of

b)    Find the equation of all vertical asymptotes over the interval.

c)     Find the intercepts over the interval.















The graph given below represents the graph of a sine function of the form

. Find the values of and .