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Trigonometry Practice Test
10) Find the exact value of csc 225.
1) If csc x < 0 & sec x > 0, then the
terminal side of the angle is
located in which quadrant?
a) I
b) II
c) III
d) IV
2) If sin x < 0 & cot x > 0, then the
terminal side of the angle is
located in which quadrant?
a) I
b) II
c) III
d) IV
7
3) Express
in degree measure.
12
4) Express 480 degrees in radian
measure.
Evaluate each of the following:
(Only EXACT values will be
accepted)
11) sin150
12) sec330
13) csc
5
3
5
4
5) Find the reference angle of 272
degrees.
14) cot
6) Express csc 245 as a function of
a positive acute angle.
15) Find the exact value of csc 330 +
cos 180.
7) Express tan (-684) as a function
of a positive acute angle.
8) In a circle whose radius is 20cm,
what is the length of the
intercepted arc if the measure of
the central angle is 6.5 radians?
9) Determine the measure of the
central angle, given a radius of
4cm and arc length
of 18 cm?
16) Convert 2.78 radians to the
nearest degree measure.
17) if f(x) = 2sin 2 x  3cos 2 x  3 ,
 
find f  
3
Evaluate the following using exact
values:

18) 2 cos120  csc150  cot
4
19) tan

3
24) Which value will make the
function tan(x + 40) undefined?
a) 60
b) 140
c) 50
d) 0
25) Which value of x, satisfies the
equation 2sin 2 x  1  1 ?
a) 0
b) 30
c) 45
d) 90
 sin 2
26) If cos ( x + 15) = sin ( x + 11) find x.
20) f(x) = 5cos 2 x , find f(150)
27) Simplify completely:
sec x(cos x – cot x)
21) If sin x =
4
, and tan x < 0, find
5
cot x.
sin 2 x  1
28) Simplify completely:
cot x
12
, and the terminal
13
side of the angle is in quadrant III,
find sin x.
22) If cos x = 
29) If tan x =
7
, and x is in quadrant
12
III, find csc x.
23) If csc x = 3, and the terminal side
of the angle is in quadrant I, find sec
x.
30) For all values of
is defined,
1)
2)
3)
4)
for which the expression
is equivalent to