Mirho

Chapter 2 Trigonometry
Section 2.1 Angles in Standard Position
Section 2.1

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Question 1

a) No; angle θ is not in standard position because its vertex is not at the origin.
b) Yes; angle θ is in standard position because its initial arm is on the positive x-axis and
the vertex is at the origin.
c) No; angle θ is not in standard position because its initial arm is not on the positive
x-axis.
d) Yes; angle θ is in standard position because its initial arm is on the positive x-axis and
the vertex is at the origin.
Section 2.1

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Question 2

a) Diagram F shows 150°.
b) Diagram C shows 180°.
c) Diagram A shows 45°.
d) Diagram D shows 320°.
e) Diagram B shows 215°.
f) Diagram E shows 270°.
Section 2.1

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Question 3

a) 48° is is quadrant I.
b) 300° is in quadrant IV.
c) 185° is in quadrant III.
d) 75° is in quadrant I.
e) 220° is in quadrant III.
f) 160° is in quadrant II.

MHR • Pre-Calculus 11 Solutions Chapter 2

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Section 2.1

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Question 4

a)

b)

c)

d)

Section 2.1

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Question 5

a) 180° − 170° = 10°. The reference angle for 170° is 10°.
b) 360° − 345° = 15°. The reference angle for 345° is 15°.
c) The reference angle for 72° is 72°.
d) 215° – 180° = 35°. The reference angle for 215° is 35°.
Section 2.1

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Question 6

a) 180° − 45° = 135°, 180° + 45° = 225°, 360° − 45° = 315°
The three other angles in standard position, 0° < θ < 360°, that have a reference angle of
45° are 135°, 225°, and 315°.
b) 180° − 60° = 120°, 180° + 60° = 240°, 360° − 60° = 300°
The three other angles in standard position, 0° < θ < 360°, that have a reference angle of
60° are 120°, 240°, and 300°.
c) 180° − 30° = 150°, 180° + 30° = 210°, 360° − 30° = 330°
The three other angles in standard position, 0° < θ < 360°, that have a reference angle of
30° are 150°, 210°, and 330°.
d) 180° − 75° = 105°, 180° + 75° = 255°, 360° − 75° = 285°
The three other...