math
Spring 2020 Name: ______________________________
MATH 175 – Test 1 - Part 1 (Show Your Work )
1. Solve Triangle ABC, given that
image1.wmf
39.61
a
=
m,image2.wmf
3954'
A
=
o
m,image3.wmf
9000'
C
=
o
. Give angles in degrees and minutes.2. Find EXACT values of the six trigonometric functions for Angle
image4.wmf
1650
q
=-
o
. Rationalize denominators when applicable.3. (a) Find the approximate value of s, to four decimal places in the interval
image5.wmf
0,
2
p
éù
êú
ëû
that makesimage6.wmf
sec1.3901
s
=
a truestatement.
(b) Find the EXACT value of s in the interval
image7.wmf
3
,
2
p
p
éù
êú
ëû
that makesimage8.wmf
3
sin
2
s
=-
a true statement. Do not use acalculator.
4. Given Function y = -5 sin 6(x+0.5), find its amplitude, period, and phase shift.
5. Use identities to find the exact value of
image9.wmf
(
)
cos105
-
o
. (Do not use a calculator.)6. Given
image10.wmf
5
cos
13
a
=
andimage11.wmf
4
cos
5
b
=
,image12.wmf
a
andimage13.wmf
b
in quadrant IV, find (a)image14.wmf
(
)
sin
ab
+
, (b)image15.wmf
(
)
tan
ab
+
, (c) the quadrant ofthe angle
image16.wmf
(
)
ab
+
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