Lesson 6.2 Extra Practice
STUDENT BOOK PAGES 323–332
1. State the exact value of each of the following
trigonometric ratios.
7␲
a) tan
6
3␲
b) csc
2
␲
c) cos
4
d) sin ␲
3␲
e) sec
4
11␲
f) cot
6
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2. For each of the following values of tan u, determine
the measure(s) of u in radians if 0 ⱕ u ⱕ 2␲ .
a) ⫺1
兹3
b) ⫺
3
c) 兹3
d) ⫺兹3
e) 1
f) 0
3. Each of the following points is located on the
terminal arm of an angle in standard position. Find
the measure of each angle in radians. Round your
answers to the nearest hundredth.
a) (5, 9)
b) (⫺8, 1)
c) (4, 3)
d) (⫺6, ⫺7)
e) (1, ⫺3)
f) (10, 11)
4. For each of the following expressions, state an
equivalent expression based on a related angle.
4␲
a) csc
3
7␲
b) cos
6
7␲
c) tan
4
2␲
d) sec
3
5␲
e) cot
3
11␲
f) sin
6
5. A signpost with a length of 2 m is stuck in the
ground at an obtuse angle. If the tip of the signpost is
each of the following distances above the ground,
determine the angle in radians that the signpost
makes with the ground. Round your answers to the
nearest hundredth of a radian.
a) 0.6 m
b) 1.3 m
c) 1.1 m
d) 0.2 m
e) 1.9 m
f) 1 m
6. The line pointing east from the centre of a compass
3␲
makes an angle of between 2 radians and
2␲ radians with the needle of the compass. If the
needle is 4 cm in length and the tip of the needle is
each of the following distances below the line
pointing east, determine the angle in radians that the
line pointing east makes with the needle. Round your
answers to the nearest hundredth of a radian.
a) 3.8 cm
b) 2.2 cm
c) 3.1 cm
d) 2.7 cm
e) 3.5 cm
f) 1.6 cm
7. For what values of u (0 ⱕ u ⱕ 2␲) are tan u,
csc u, sec u, and cot u undefined?
Lesson 6.2 Extra Practice
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