Mathematics Trigonometry Grade 11 Pdf
Name:____________________
Daniel McIntyre Collegiate Institute Grade 11 Pre-Calculus Trigonometry Test
Part I Multiple Choice
Instructions: Circle the best response. 1. An equation representing a downward shift of 2 units of the graph
4 sin
+ =
θ
y
is: a)
4 sin 2
+ =
θ
y
b)
4 sin 2
+ − =
θ
y
c)
2 sin
+ =
θ
y
d)
2 sin
− =
θ
y
2. If
0 tan
>
θ
and
0 cos
<
θ
, then
θ
must terminate in: a) Quadrant Ib) Quadrant IIc) Quadrant IIId) Quadrant IV 3. Which of the following is
NOT
a related angle of 20°? a) 340°b) 160°c) 200°d) 250° 4. If
θ
is an angle in standard position and its terminal side passes through the point
2 3 , 2 1
on a unit circle, a possible value of
θ
is: a) 120° b) 60°c) 150°d) 30° 5. The range of
3 4 ) (
2
+ + − =
x x x f
is: a)
(
]
1 ,
− ∞ −
b)
(
]
3 ,
∞ −
c)
[
)
1 ,
− ∞ −
d)
(
]
7 ,
∞ −
6. Evaluate
270 cos
) 16 (
a) -16 b) 0c)
16 1
d) 1
Part II Short Answer
Answer each of the following questions to the best of your ability ( 2 marks each ) 1. Find the roots of:
6 5 6 ) (
2
− − =
x x x f
algebraically. *
You must show your work
* Answer:____________________ 2. Find the vertex of
1 36 4
2
+ + − =
x x y
algebraically. *
You must show your work
* Answer:____________________ 3. If
13 12 sin
− =
θ
and
0 tan
>
θ
, determine the value(s) of
θ
where 0° ≤ θ ≤ 360° . Answer:____________________ 4. If the sine of an angle is
5 3
and the angle is
not
in Quadrant I, what is the value of the cosine of the angle? Answer:____________________ 5. Graph:
θ
cos 7
=
y
Label everything correctly!!
Mathematics Trigonometry Grade 11 Pdf
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