SHORT LEG:
EXACT
VALUES
OF SIN
PRACTICE
MEDIUM LEG:
LONG LEG:
Find each exact value without using a calculator. Leave your answers in fractional form.
(1) sin(150) ______
(2) sin(225) ______
(3) sin(60) ______
(4) sin(90) ______
(5) sin(315) ______
(6) sin(45) ______
(7) sin(120) ______
(8) sin(300) ______
(9) sin(30) ______
(10) sin(330) ______
(11) sin(0) ______
(12) sin(270) ______
(13) sin(360) ______
(14) sin(135) ______
(15) sin(210) ______
(16) sin(240) ______
PRACTICE
Determine the value(s) of theta that would satisfy each equation.
( ) —
(17)
√
(18)
=_____ _____
=_____ _____
( ) —
(21)
=_____ _____
PRACTICE
(22)
( )
( )
(19)
( )
=_____
( ) —
(24)
=_____ _____
=_____ _____
√
=_____ _____
( )
(23)
√
( ) —
(20)
Consider the unit circle pictured at right.
=_____
y
(25) Locate the spot at 60°. What is the vertical
distance from that spot down to the x-axis?
________
(26) Prove your answer to
#25 using trigonometry.
x
PROOF:
(27) How can you use similar trigonometric methods
to determine the horizontal distance from the same
spot to the y-axis? Describe/show your method below.
DESCRIPTION / WORK:
(28) Complete the following statement:
If the
fu ct o determ e a pot’ vert cal
dimensions, then the ______ function
determ e a pot’
_______________ d me
o .
WHEN TO USE SIN
PRACTICE
WHEN TO USE COS
Find each exact value without using a calculator. Leave your answers in fractional form.
(29) cos(150) ______
(30) cos(225) ______
(31) cos(60) ______
(32) cos(90) ______
(33) cos(315) ______
(34) cos(45) ______
(35) cos(120) ______
(36) cos(300) ______
(37) cos(30) ______
(38) cos(330) ______
(39) cos(0) ______
(40) cos(270) ______
(41) cos(360) ______
(42) cos(135) ______
(43) cos(210) ______
(44) cos(240) ______
PRACTICE
Determine the value(s) of theta that would satisfy each equation.
(45) co ( ) —
√
=_____ _____
=_____ _____
(49) co ( ) —
(48) co ( ) —
=_____
(52) co ( ) —
=_____ _____
=_____ _____
√
=_____ _____
(51) co ( )
√
(50) co ( )
=_____ _____
PRACTICE
(47) co ( )
(46) co ( )
=_____
Use the unit circle to answer each equation.
(
(53) Which of the following is equivalent to
a)
(
)
b)
(
)
c)
(
(54) Which of the following is equivalent to
a)
(
)
b)
(
(55) Which statement is NOT true?
(56) Select all of the following expressions that are equivalent to —1.
(57) What is
(
)
(
)?
)?
(
)
d)
(
)
(
)
d)
(
)
)?
)
c)
a)
(
)
(
)
b)
(
c)
(
)
(
)
d)
(
a)
(
)
d)
(
a) 0
)
b) 1
(
)
)
(
)
)
b)
(
)
c)
(
e)
(
)
f)
(
c) √
d)
√
)
)
REVIEW
( )
REVIEW
(58) If ( )
, what is
√ and
( ( )) ?
a) 5
b) 7
d) √
Graph each system of inequalities. Shade/darken only the solution region.
(59)
(60)
REVIEW
c) √
(61)
(62)
(65)
(66) (
Simplify each expression.
(63) ( )
(64) (
_______
)
(
)
_______
_______
)
_______
REVIEW
(67) There are 150 virus cells in a living sample. The virus is reproducing rapidly; the number of virus cells increases by 6% each hour. The sample
will die when it contains 2000 virus cells. How long from now will the sample die? ________
REVIEW
(68) Solve:
a) 3/8
b) 2/5
c) 6/5
d) 2/3
REVIEW
(69) Solve:
a) —4
b) 3
c) —2
d) 4
) is a
(70) If (
factor of the expression
then what else is a factor?
REVIEW
REVIEW
,
a) (
c) (
)
)(
)
b) (
d) (
)
)
Use long/polynomial division to answer each question.
(71) Using the graph at right, write
the polynomial in factored
form:
y
(72) Factor the polynomial:
HINT: ONE OF ITS FACTORS IS (
)
(–2, 0)
y=_____________________________
_____
_______ _______ _______
DEGREE
ROOTS
___________________________