Honors Algebra 2 — Unit 7 Day #4
Homework — The Unit Circle
Name
Draw the angle in standard form.
1.
7 Ir
3. —485° = —/c2.5
3
X
Determine the measure of the angle.
4.
5.
360
-- //0
6.
35-6 d
Find the co-terminal angle between 0° and 360° or 0 and 27z.
7. 640° — 360
8.
6 27r
—
anr.
9. —435°1
15
& go°
aar
.
15-
is-
7020
10.
—19/r
0?*7--
12
— ags°
_ aI.
Convert from degree to radian or from radian to degree
10>r, 1/2Y,o Ao
11. 325° /
12.
1., g 1K
8)0
_ eaMI
e)cto
13.
72°C
Tio
14.
--
5
7a°
Honors Algebra 2 – Unit 7 Day #4
Homework – The Unit Circle
Give the exact value:
15. sin 60°
Name
16. cos 585° = COS acAS— 17.
—TA
18.
sin 300°
02-
C2'
19. sin-90°
cos-510° C O542/6
20. cos Tr
--/
—27123. Find the exact length of the radius of a sector with area 2577. cm2 and central angle of
radians .
3
3
IT-rg
oTh(
Tr
o?,5—
r
e-
6ff
24. Find the measure of the angle in radians for a sector with area — cm2 and radius of 4 cm.
3
7rr.
d
3
a
25. Find k so that x + 1 is a factor of 6x 4 – 4x3 – x2 – 6x + k .
—4
X !ma)/
Honors Algebra 2 - Unit 7 Day #4
Homework - The Unit Circle
Name
26. On a merry-go-round, the pole to which the horses are attached are equally spaced. Each pair of
consecutive poles forms a central angle of fr radians.
12
a. How many horses are on the merry-go-round, assuming every pole has a horse attached to it?
cRIT
/a.
77 z. cutz c25' horses,
a? "IF • 42-
yr
b. If the horses are located 25 feet from the center, how far is it from one horse to another?
egir
L I= 75:Ps)
c. If the ride takes 45 seconds to complete one revolution, how far will a horse travel during the length
of the ride if the ride lasts for three minutes?
3min _= goSec
C
7
05--)
-iS;Sec
re,vo
SOT/ --
1/45r), tr
ail erns-
= ac0
oc &Re. 59
27. A rectangular box has a square base. The combined length of ONE side of the square base and the height
is 20 in. Let x be the length of a side of the base of the box. Write a polynomial function in factored form
modeling the volume V of the box. What is the maximum possible volume of the box?
iength tre
hao
MI
Akt ,
7- 40
ao- 62-44__10/01ao-x
h
wi d th _9(__ Since tha_ ,4
),)( (x)-x)
Mai< Voi tut
X = Jai al•
1t = 6` fAl
iree-it?
Honors Algebra 2 — Unit 7 Day #4
Homework — The Unit Circle
Name
28. Is (x + 2i) a factor of x 5 + 4x 4 + 5x 3 + 10x 2 + 4x — 24 ? Show work and explain how you reached
your conclusion.
-4_
L /
/0
/6 ac
ar: I/
--6 o?/
•-/-07€:
PI
eta/
171
fat
/a e
I and,
Sin--/mi-ic. di /an b
to re 'ma/44
nts Condo_ e, (yield
4. Given that (x 2 — 3) is a factor of f (x) = (2x 5 + 5x4 —
a. Find all solutions for f (x).
3
X
1
7 -0 X 3
(X e -t--1)02)( 1-3-)
b. Write it in factored form over the set of rational numbers.
2P-J X`P=-3Pe--1-1)
Write it in factored form over the set of rational and complex numbers.
(9x hs--YX-1:9 yxf
-FiX --6
X3
X
fa-;
/
4
X1
(Xt.2)
fox
0
flx3
--eN
aiso.
ax Di V 5 ern
je. s ro retylethdor