whodunnit key - weebly...six contestants on a reality tv show were stunned to find their lowest...
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© 21st Century Math Projects © 21st Century Math Pro
NAME:_______________________________
Six contestants on a reality TV show were stunned to find their lowest scoring colleague was “murdered”. They must figure out the crime before the bell rings. The question is Whodunnit? And how… The Player, Last Known Whereabouts and Method that are left unaccounted for -- is the solution.
1. 2.
3. 4.
5. 6.
CSI: whodunnit?
key
© 21st Century Math Projects
7. 8.
9. 10.
WHO IS THE KILLER? (The three boxes left unchecked will reveal the crime. If you cannot figure out, you may be next)
THE PLAYERS THE LAST KNOWN WHEREABOUTS THE METHOD
Dr. Alpha Atrium Chemical Poisoning
Miss Beta Gym Drowning
Mrs. Gamma Kitchen Electrocution
Professor Delta Library Firearm Assault
Mr. Epsilon Movie Theater Mauled by a Cougar
Coach Omega Pool Venomous Bite
Xx x xx x xx x xx x xx x
Using the sum & difference identities, condense each of the following and express as a trig function of a single angle.
sin 140 Thevictimwasnotelectrocuted.cos 140 Mrs.Gammawasreadingintheatrium.sin 54 Thevictimwasnotmauledbyacougar.cos 54 MissBetawasexercisinginthegym.
Usethesum&differenceidentitieswithunitcirclevaluestofindexactanswersforthefollowing:cos 75°√-.√/0 Themurderwasnotanassaultwithafirearm.√/1√-0 Mr.Epsilonwaswatchingamovieinthetheater.√-.2- Themurderwasnotadrowning.
√-.√3- Mrs.Gammawasswimminginthepool.
sin97 cos43 cos97 sin43o o o o+ 97 t 43 I4O
cos 9S t30
Cos 45t3O cos4 n4Ssin30
HEI LEKI IET ET 7
Given: , , and , , find
−5//5Mr.Epsilonwaslayingbythepool.−2//3ProfessorDeltawaswatchingamovieinthetheater.−33/5Thevictimdidnothaveavenomousbite.
−2//5Themurderwasnotanassaultwithafirearm.
Using the sum & difference identities, condense each of the following and express as a trig function of a single angle.
tan 80 ProfessorDeltawaseatingasnackinthekitchen.tan 200 Thevictimwasnotelectrocuted.tan 0:; MissBetawaswatchingamovieinthetheater.
tan 2<:; Thevictimwasnotmauledbyacougar.
13csc5
a =2p a p£ £
3tan4
b = - 3 22p b p£ £
sin( )a b-
tan140 tan601 tan140 tan60
o
o
-+
o
o
QI QIE E
sink BI sinxcosBsinbcosxa.sneiEsEEtst s OE
14060 80
c
Use the sum & difference identities with unit circle values to find exact answers for the following:cos =12√3.√-0 Dr.Alphawasreadingbythepool.√/.√3- Themurderwasnotdonebychemicalpoisoning.√31√-- Themurderwasnotadrowning.
√-.√/0 MissBetawasexercisinginthegym.
Given: , , and , , find −2//5CoachOmegawaswatchingamovieinthetheater.−33/5Thevictimwasnotmauledbyacougar.−2//3Themurderwasnotadrowning.
−5//5Dr.Alphawascookinginthekitchen.
13csc5
a =2p a p£ £
3tan4
b = - 3 22p b p£ £
cos( )b a+
1 15
cos15Cos45 30cos450530 sin45sin30E E Efatrig try RETI
QI QII 00 A
s YEE Etests B
Tf.ee gEIisiEsFEI4yg8 tyIg 361g
Solve the following equation over the interval .
0, =, :3 , -:3 ProfessorDeltawasplayingbasketballinthegym.0, =, :3 , 5:3 Themurderwasnotadrowning.0, =, :/ , 22:/ CoachOmegawasbrowsingbooksinthelibrary.
0, =, :/ , 5:/ Themurderwasnotanassaultwithafirearm.
Using the sum & difference identities, condense each of the following and express as a trig function of a single angle.
sin :0- Thevictimdidnothaveavenomousbite.cos :0- Mrs.Gammawasrelaxingintheatrium.sin 23:0- Themurderwasnotdonebychemicalpoisoning.
cos 23:0- CoachOmegawasswimminginthepool.
[ )0,2p
( ) ( )tan 2sin 0x xp p+ + + =
cos cos sin sin6 7 6 7p p p p
-
tanxttanet 2sinxcost 12sinltcosx
ITIntfo 2sinx.tt'Locosx
tape 2sinx tanx 2 ineEionsIx 2si
iosoxsxcosx sin xnX0 gasinxu2cosXJosinxol 2comeOQiTffSXzz
FzIcosk
G ELI 14,78 747647 1347
Solve the following equation over the interval .
3:0 , ?:0 Dr.Alphawasreadinginthelibrary.:0 , 5:0 Themurderwasnotdonebychemicalpoisoning.:0 , 3:0 , 5:0 , ?:0 Mrs.Gammawasrelaxingintheatrium
5:0 , ?:0 Thevictimdidnothaveavenomousbite.
Usethesum&differenceidentitieswithunitcirclevaluestofindexactanswersforthefollowing:tan−105°√3 − 2 Dr.Alphawaslisteningtomusicintheatrium.
2 − √3 Themurderwasnotanassaultwithafirearm.−2 − √3 Themurderwasnotdonebychemicalpoisoning.√3 + 2 Mrs.Gammawasresearchinginthelibrary.
[ )0,2p
3sin cos 02 2
x xp pæ ö æ ö+ - + =ç ÷ ç ÷è ø è ø
Sinxcostz sinztcosx kosxcosZIsinxs.in'Esina.lt ocosX cosX.O sinXe 1
THEFTcosx s.inocoSXSinX
Lan tant't tankedc491160 Ttl BItis1 53 11531 53.1 53
4713
2153
g