Download Sec 2.1-2.3 Answer Key

Honors Trigonometry
Review: Sec. 2A-2.3
Name
Date
Part I. No calculators may be used for this part.
1. Determine the sin 0, cos 0 tan 0 for the
.3
esponding to the poin
4,-215)
C
26
2 If sec()
and — < 8 <
2
7,
then find csc 0 us ng trigonometric identities.
4
3. Given:
COt 8=
—4^
a IL ; SIn et
4Nrjand csc 0 < 0 , find sec 0 us ng trigonometric identities.
3
ickn
F C-3 ) 1
—
1-
3
4-an9
S e_c_
4. If cot 8= --\fi and cos 0 < 0 , find sin 0 by drawing a triangle in the appropriate
quadrant.
n
5. If sin 0 = -- and cot 9 > 0 , find tan 0 by drawing a triangle in the appropriate
9
quadrant.
xL
(31 )(
X Li. '7 'g
fir!:
For problems 6-11, determine the exact value of the trig. function.
6. tan 450°
-3
cid'
0 10
Ondectyw).
?0
.
7. sec
( 197r
6
■
8.
14. sin
0.
17z4
cos — +cos
6
( 117t
4
57r \
6
tan 210° – tan135°
1+ tan 210°tan135°
A- a
Part II. Calculators are permitted for this part. Round all answers to three decimal
places unless othenvise noted.
For problems 11 & 12, a) sketch the angle in the appropriate quadrant, and b) convert the
angle to degrees/radians. When converting to radian measure, give the answer in terms
of pi and as a decimal. When converting the answer to degrees, write your answer as a
decimal as well as in DMS.
11. 2.364
12. -780°
ck)
For problems 13 & 14, evaluate each trigonometric function.
14. sec543°
13. tan (-43°32'8")
--C.,s3sSLk Ed
0, c150
-1
00
Solve each application problem.
15. The displacement from equilibrium of an oscillating weight suspended by a spring is
y(t) =
4
cos(6t) where y is the displacement in feet and t is the time in seconds.
Find the displacement when (a) t = 0, (b) t =
s ( 6 , 0).
c 0s
1
(c)
4
1
2
16. A company that produces a seasonal product forecasts monthly sales over the next
7z-t
two years to be S = 23.1+ 0.442t + 4.3 sin
whe e s measured in thousands of units
6
and t is the time in months with t =- 1 representing January 2011. Predict the sales for the
following months.
(a) September 2011
(b) February 2012
o.1-11-ta(N)
17. The centerline of a highway curve is an arc of a circle with radius 650m. If the
central angle is 34.6° , find the length of the curve to the nearest meter.
0
e
3 Li
8. A Water
has a radius
, when
.
, of 12 feet. he wheel is rotating at 20 revo tions per
minute:"T4nd the linear speed, in miles er hour, ofhe water.
CS ..`a cyp ce2,1
r-
19. The circular blade on a saw has a diam
rpm. (a) Find the angular speed
saw teeth in miles per hour.--
,i5
Cr\
Q 400
7.5 inches and the blade rotates afT
er second. (b) Find the speed of the
4,3 s""N