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Worksheets

Trigonometry Review #1

Total questions: 20

Worksheet time: 36mins

Name
Class
Date
1.
Evaluate cos ( π / 3 )
a)
1/2
b)
2
c)
√3 / 2
d)
1
2.

Evaluate tan (3π / 4)

a)

√3 / 2

b)

1 / 2

c)

-1

d)

0

3.
Evaluate sec ( 5π / 6 )
a)
1
b)
0
c)
√3 / 2
d)
2√3 / 3
4.

Evaluate csc (2π)

a)

1

b)

0

c)

2

d)

∅ (undefined)

5.
Convert -3π/5 to degrees
a)
-108⁰
b)
-210⁰
c)
-160⁰
d)
78⁰
6.
What is the reference angle for 11π/6
a)
π/6
b)
π/3
c)
π/4
d)
5π/6
7.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
8.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
9.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
10.
cos-1(√3/2) = 
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
11.

sec2(x) - tan2(x)

a)

tan(x)

b)

1

c)

-sin(x)

d)

-1

12.

(sec2x)(1 - sin2x)

a)

-cos(x)

b)

1

c)

-1

d)

-sin(x)

13.

cot(x)tan(x) + cot2(x)

a)

-cot(x)

b)

csc2(x)

c)

sec(x)

d)

-csc2(x)

14.

(csc2x)(cos2x - 1)

a)

sin2(φ)

b)

1

c)

-1

d)

csc(φ)

15.

sin2(x) - cos(x)sec(x)

a)

sec2(x)

b)

cos2(x)

c)

-cos2(x)

d)

-sec2(x)

16.
Simplify the trig expression.
a)
tan2x
b)
-tan2x
c)
cot2x
d)
cos2x*sin2x
17.
Simplify the trig expression.
a)
tanx
b)
2tanx
c)
-tanx
d)
(2tanx)/(tan2x-1)
18.
Simplify the trig expression.
a)
cot2(x)
b)
1
c)
tan2(x)
d)
-1
19.
Simplify the trig expression.
a)
secx
b)
cotx
c)
sec2x
d)
tan2x
20.
Simplify the trig expression.
a)
sinx
b)
-sinx
c)
cosx
d)
2sinx