math
LLWINWIN
M175-T1-P1-Remote-31.docSpring 2020 Name: ______________________________
MATH 175 – Test 1 - Part 1 (Show Your Work )
1. Solve Triangle ABC, given that
39.61
a
=
m,3954'
A
=
o
m,9000'
C
=
o
. Give angles in degrees and minutes.2. Find EXACT values of the six trigonometric functions for Angle
1650
q
=-
o
. Rationalize denominators when applicable.3. (a) Find the approximate value of s, to four decimal places in the interval
0,
2
p
éù
êú
ëû
that makessec1.3901
s
=
a truestatement.
(b) Find the EXACT value of s in the interval
3
,
2
p
p
éù
êú
ëû
that makes3
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
(
)
cos105
-
o
. (Do not use a calculator.)6. Given
5
cos
13
a
=
and4
cos
5
b
=
,a
andb
in quadrant IV, find (a)(
)
sin
ab
+
, (b)(
)
tan
ab
+
, (c) the quadrant ofthe angle
(
)
ab
+
.PAGE
1
