Review: Trig Part II
1. Match the following graphs with their equations. Place the appropriate letter beside each graph.
.
.a) d). g)
. b)
+ 1 h) e) i) c) f) j)

Short Answer
1. Determine the average rate of change of the function from to exactly.
2. Solve on the interval
3. Solve on the interval .
4. Solve on the interval .
5. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car at a height of 3 m above the ground, determine a sine function that models the height, h , in metres, of the car relative to the ground as a function of the time, t , in seconds.
6. The water level at an ocean inlet has a depth, d , in metres, that varies with the time, t , in hours after midnight, according to the equation . What is the water depth at 2:30 a.m., to the nearest hundredth of a metre?
7. The current in a household appliance varies according to the equation , where A is the current, in amperes, and t is the time, in seconds. At what rate is the current changing at t = 1 s?
8. Describe the transformations that when applied to the graph of result in the graph of
.
9. An isosceles triangle has a base of length apex angle, in radians.
Answers:
1.

6

2

2

11

2
2.
m and sides of length 2 m. Determine the exact value of the
3.
4. 5. 6. approximately 2.56 m
7. approximately 1885 amperes per second
8. a reflection in the x -axis, a vertical stretch by a factor of 2, a horizontal expansion by a factor of 8, a phase shift of rad to the right, and a vertical translation of 1 unit up
9. Therefore, the measure of the apex angle is , or .

SHORT ANSWER
96. ANS:
PTS: 1 DIF: 2
OBJ: Section 5.5 LOC: D1.9
REF: Knowledge and Understanding; Application
TOP: Trigonometric Functions
KEY: average rate of change, primary trigonometric function
100. ANS:
No solution.
PTS: 1 DIF: 2
OBJ: Section 5.4 LOC: B3.4
KEY: quadratic trigonometric equation
101. ANS:
REF: Knowledge and Understanding
TOP: Trigonometric Functions
No solution.
PTS: 1 DIF: 2
OBJ: Section 5.4 LOC: B3.4
KEY: quadratic trigonometric equation
102. ANS:
REF: Knowledge and Understanding
TOP: Trigonometric Functions

or No solution.
PTS: 1 DIF: 3
OBJ: Section 5.4 LOC: B3.4
KEY: quadratic trigonometric equation
103. ANS:
REF: Knowledge and Understanding
TOP: Trigonometric Functions
PTS: 1 DIF: 2 REF: Knowledge and Understanding; Application
OBJ: Section 5.3 LOC: B2.6, B2.7 TOP: Trigonometric Functions
KEY: sinusoidal function, equation, properties
104. ANS: approximately 2.56 m
PTS: 1 DIF: 2
OBJ: Section 5.4 LOC: D3.3
KEY: sinusoidal function
REF: Knowledge and Understanding; Application
TOP: Characteristics of Functions
105. ANS: approximately 1885 amperes per second
PTS: 1 DIF: 2 REF: Knowledge and Understanding; Application
OBJ: Section 5.5 LOC: D1.5, D1.6, D1.8 TOP: Trigonometric Functions
KEY: instantaneous rate of change
106. ANS: a reflection in the x -axis, a vertical stretch by a factor of 2, a horizontal expansion by a factor of 8, a phase shift of rad to the right, and a vertical translation of 1 unit up
PTS: 1 DIF: 2
REF: Knowledge and Understanding; Application; Communication
OBJ: Section 5.3 LOC: B2.4
KEY: transformations, sinusoidal function
TOP: Trigonometric Functions
108. ANS:
Therefore, the measure of the apex angle is , or .
PTS: 1 DIF: 2
OBJ: Section 5.4 LOC: B3.4
REF: Knowledge and Understanding; Application
TOP: Trigonometric Functions

KEY: linear trigonometric equation