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Trig-1

Total questions: 25

Worksheet time: 51mins

Name
Class
Date
1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
3.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
4.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

5.
What is the correct equation to solve for x ?
a)
tan (58) = x/11
b)
tan (58) = 11/x
c)
cos (58) = x/11
d)
sin (58) = x/11
6.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
7.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
8.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
9.

Simplify (Hint: you will need to FOIL first)

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

10.
Simplify:  tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
11.
Simplify this to a basic trigonometry function:
tan(x)csc(x) 
a)
tanx
b)
secx
c)
cotx
d)
cscx
12.
cscθ=
a)
1/cosθ
b)
1/sinθ
c)
1/tanθ
d)
1/secθ
13.
4) sinx(cotx+tanx)
a)
cosx
b)
cscx+1
c)
cosx-2
d)
secx
14.
*
a)
csc2 x
b)
sec2 x
c)
cot2 x
d)
tan2 x
15.
a)
csc²θ
b)
sec²θ
c)
cscθ
d)
1
16.
a)
1/cos x
b)
1
c)
cot x
d)
-1
17.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
18.

cos(90 - u)

a)

sec(u)

b)

csc(u)

c)

tan(u)

d)

sin(u)

e)

cot(u)

19.
a)

sec(u)

b)

cos(u)

c)

csc(u)

d)

sin(u)

e)

cot(u)

20.
a)

sec(u)

b)

cos(u)

c)

tan(u)

d)

sin(u)

e)

csc(u)

21.

tan(-u)

a)

tan(u)

b)

-cot(u)

c)

sin(u)

d)

-tan(u)

e)

cot(u)

22.

Select all that are Pythagorean Identities.

a)

sin2(u) + cos2(u) = 1

b)

sin2(u) - cos2(u) = 1

c)

tan2(u) + 1 = sec2(u)

d)

cot2(u) + csc2(u) = 1

e)

cot2(u) + 1 = csc2(u)

23.

sin 45 =

a)

0

b)

1/2

c)

√2/2

d)

√3/2

e)

1

24.

tan 0 =

a)

0

b)

1

c)

√3

d)

√3/3

25.

tan 60 =

a)

0

b)

1

c)

√3

d)

√3/3