Precalculus: Chapter 4 Test Review
1.Converteachanglefromradianstodegrees.
2π
π
a.)
b.) 3
4
2.Converteachanglefromdegreestoradians.Mustbeinreducedfractionform.
!
a.) 310 b.) −220° 3
3.Given tan θ = inQuadrantIII,evaluatethefiveremainingtrig.functions.
5
4.Giventhatthepoint − 3,−1 isontheterminalsideofanangleinstandard
(
)
position,statethesmallestpositiveanglemeasureinbothdegreesandradians.
5.Evaluatethefollowingexpressions: 5π
a. cos150! b. sin
c. tan(−150! ) 6
π
π
d. csc e. sec(−240! ) f. cot = 2
2
6.Evaluatethefollowingexpressions.Stateanswersinbothdegreesandradians.
⎛ 3⎞
a. sin −1 ⎜−
b. Arc tan ( 0 ) c. sec−1 − 2 ⎟
⎝ 2 ⎠
(
)
7.Findtheexactvalueofx.
Stateyouranswersinradians.
π
3π
a. csc x = −2,
b. cot x = −1,
≤x≤
π ≤ x ≤ 2π 2
2
Stateyouranswersindegrees.
2
, 0° ≤ x ≤ 360° c. sin x =
d. sec x = −1, − 360! ≤ x ≤ 360! 2
8.Graphthefollowingfunctionsontheinterval −2π ≤ x ≤ 2π .
1
a. y = 2 tan ( x + π ) −1 2
4.0
3.0
2.0
1.0
−2π −3π/2
−π
−π/2
π/2
π
3π/2
2π
−1.0
−2.0
−3.0
−4.0
b.
⎛
π⎞
y = −2sin ⎜ x − ⎟ − 2 2⎠
⎝
4.0
3.0
2.0
1.0
−2π
−3π/2
−π
−π/2
π/2
π
3π/2
2π
−1.0
−2.0
−3.0
−4.0
9.Giveanequationforthefollowinggraphs: a.
5.0
4.0
3.0
2.0
1.0
−2π
−3π/2
−π
−π/2
π/2
π
3π/2
2π
−1.0
−2.0
−3.0
−4.0
−5.0
Equation:_________________________________________________
b.
5.0 4.0
3.0
2.0
1.0
−2π
−3π/2
−π
−π/2
π/2
π
3π/2
2π
−1.0
−2.0
−3.0
−4.0
−5.0
Equation:__________________________________________________