Name
Math lV
Chapters7 and 8
Standmds:MM4A3, MM4A5, MM4A6, MM4A MM4AIU
L. lf secI = 3 , thenfindthe valueof cosd
\ s\\*\r
FinalExam
4
2.lf cot0 = = and180'< e <270",findcscd
3
3. Simplifycot20sec20
4. lf secdsinO = 2 , findthe valueof cotQ .
5. Verifuthat the equationis an identity:
csc.r
6. Verifuthat the equationis an identity:
cos.x
= secx
tan.r +
I + sinx
cot.r + tanx
= COs.f
7. Finda numerical
valueof onetrigonometric
functionof x
=
if cosxcscx 5
7T
8. Usethe sumor difference
identityfor cosineto find
the exactvalueof cos375'.
9. Findthe exactvalueif 0 < x < I and 0 < -Y < - 2i
1 0 .F i n dt h ee x a c t v a l ui fe0 < x < L a n d 0 < v < L ,
s i n ( x -y ) i f c o s . r = 9 * A c o s y = 1
1
7
'
s
cos(x
+ y) if sinx= I *a siny:1
1
3
'
s
2
2
"
2
Name
Math lV
FinalExam
Chapters 7 and 8
Standards:MM4A3, MM4A5, MM4A6,MM4A8, MM4A10
12.SolveZsinx*2=0
11. Usethe half angleidentityto find the exactvalueof
sin165o
13.Solvetanx - 1 = 0 for all realvaluesof x.
14.Writethe equationof x * 5y + 8 = 0 in normal
form.
15. Findthe distancebetweenP(1,4)andthe linewith
equationx-Zy*5=0
16.Findan equationof the linethat bisects
the acute
anglesformedby the lineswith equations
x*3y -J = 0andx-2y-2=0
17. ThevectofThasa magnitude
of 13 millimeters
anda
directionof 84". Findthe magnitude
of itsverticaland
horizonta
I components.
18.Writethe orderedpairthat represents
the vector
-3)to
fromA(1,
8(-6,-8).
Thenfindthe magnitude
ZF.
19.WriteEF asa sumof unitvectorsfor E (8,2,-4)
and
F(5,-3,0).
20.Twopeopleareholdinga box.Onepersonexertsa
forceof 140pounds
at an angleof 65.5'withthe
horizontal.
Theotherpersonexertsa forceof 115pounds
at an angleof 58.3owith the horizontal.
Findthe net
weighof the box.