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MCR3U Unit 2 Practice Problems 1. Without

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MCR3U Unit 2 Practice Problems

1. Without using a calculator, determine the exact value of each of the following:
a. Sin 135 [Answer = 1/sqrt(2)]
b. Cos -750 [Answer = sqrt(3)/2]
c. Tan 1470 [Answer = 1/sqrt(3)]

2. Determine the angle(s) A between 0 and 360 for each of the following equations:
a. A = Sin -1 (0.3) [Answer = 17.5 or 162.5]
b. A = Cos -1 (-0.75) ) [Answer = 138.5 or 221.5]
c. A = Tan -1 (-2.5) ) [Answer = 17.5 or 162.5]

3. For each of the following functions …

a. f (x) = 2sin (3(x – 35)) – 4


b. f (x) = -0.5cos (0.5(x + 45)) + 2
c. f (x) = 5 sin (4x + 120) – 3

i. Describe, using transformation terminology, how each of the base


Sine or Cosine function has been transformed to arrive at each of
the functions.
ii. Graph two (2) cycles of each of the functions by first identifying
the values of the parameters a, k, c and d
iii. Identify each of the following properties of each function –
amplitude, axis of the curve, period and phase shift.

4. Using the graph of f (x) below …


a. determine the equation of the function f (x).
b. if f (x)describes the height of a rider on a roller-coaster ride over time,
describe the physical set-up of the ride that correspond to the graph below.

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