11 SL Transformations of Trigonometric Functions

You should have the following questions completed by the end of class on Monday, April 8th. (In order to complete these, you may also find it helpful to read the textbook material in Sections B to F in the textbook.) Yes, there are lots of questions, but you’ve got lots of time!

One formula that you should have in your notes (this was discussed in our last class), is the formula to find the value of \(b\) that will change the period (of either \(f(x)=\sin (bx)\) or \(f(x)=\cos (bx)\)) to a desired value. That formula is given below.

\[b=\frac{2\pi}{\text{period}}\]

Questions
Exercise 10B.1 questions 1–4
Exercise 10B.2 questions 1–3, 4acegi
Exercise 10C questions 3–5
Exercise 10D questions 1adgi, 2, 3, 4
Exercise 10E questions 1–3
Exercise 10F questions 1, 2c, 3, 4ce, 4, 6ace, 7, 8

11 SL Periodic Functions

In class today we saw that the graph of the sine function will be periodic (though we didn’t introduce that term). Read Section 10A to find the definition of a periodic function, then complete the question below.

Exercise 10A question 1