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WorksheetsTrig Review
Total questions: 25
Worksheet time: 31mins
Name
Class
Date
1.
Which quadrant is 230⁰ in?
a)
I
b)
II
c)
III
d)
IV
2.
-500o is in which quadrant?
a)
I
b)
II
c)
III
d)
IV
3.
Which of the following is a negative coterminal angle of 165 degrees?
a)
-165
b)
525
c)
-525
d)
-195
4.
What are the negative and positive coterminal angles of 240 degrees?
a)
540°, -120°
b)
600°, -120°
c)
425°, -240°
d)
120°, -135°
5.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
6.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
7.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
8.
If θ is an angle in Quadrant II, which trig ratios will be positive
a)
sin θ
b)
cos θ
c)
tan θ
d)
cos θ and sin θ
9.
If the point (-2, 3) lies on the terminal side of an angle θ, find the value of cosθ
a)
-2√13 / 13
b)
√13 / -2
c)
-2√5 / 5
d)
-2 / 3
10.
In which quadrants is the sine function positive?
a)
1
b)
1,2
c)
2,3
d)
All
11.
Let (-4, 3) be a point on the terminal side of θ. What is tan θ?
a)
-4/5
b)
-3/4
c)
3/5
d)
4/5
12.
The terminal side of θ in standard position contains the point (8,-15). What does tan θ equal?
a)
-17/8
b)
-15/17
c)
-15/8
d)
8/17
13.
a)
6.99
b)
6.33
c)
13.59
d)
7.83
14.
a)
20.35
b)
12.72
c)
14.99
d)
21.83
15.
a)
44.55
b)
22.69
c)
41.66
d)
38.49
16.
Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)
cos(75°)
a)
1/4
b)
√6/4 - √2 / 4
c)
√6 + √2 / 4
d)
-√6/4 - √2 / 4
17.
sin 105º
a)
√3/2
b)
-1/4(√2 + √6)
c)
1/4 (√2 + √6)
d)
2-√3
18.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
19.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
20.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
21.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
22.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
23.
Simplify this to a basic trigonometry function:
tan(x)csc(x)
tan(x)csc(x)
a)
tanx
b)
secx
c)
cotx
d)
cscx
24.
You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium and the first row has 21 seats. How many seats does the auditorium contain?
a)
2,604
b)
2,163
c)
2,422
d)
2,803
25.
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?
a)
1,600
b)
18,235
c)
14,725
d)
19,125
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