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Evaluate the values of the six trigonometric functions at each of the following angles. If the value does not exist, write “undefined.” (a) sinp 6  = cscp 6  = cosp 6  = secp 6  = tanp 6  =...

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Evaluate the values of the six trigonometric functions at each of the following angles. If the value does not exist, write “undefined.” (a) sinp 6  = cscp 6  = cosp 6  = secp 6  = tanp 6  = cotp 6  = (b) sin� - 5p 3 ? = csc� - 5p 3 ? = cos� - 5p 3 ? = sec� - 5p 3 ? = tan� - 5p 3 ? = cot� - 5p 3 ? = (c) sin(495? ) = csc (495? ) = cos (495? ) = sec (495? ) = tan(495? ) = cot(495? ) = 2. Given that cos(?) = - 4 5 and that csc(?) < 0, construct a reference triangle and use it to compute the values of all other trigonometric functions of ?.
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Worksheet #2 MATH U127: Precalculus II 7/11 Name: Directions: 1) You must write up your solutions individually. 2) Show all work for full credit. 3) Clearly indicate your ?nal answer. 4) Each question is worth 3 points for a total of 15 points. This worksheet is due onTuesday, July 18th at8:00am. 1. Evaluatethevalues ofthesix trigonometricfunctions ateachof thefollowing angles. If the value does not exist, write “unde?ned.” � ? � ?       5 5 sin = csc = sin = csc = 6 6 3 3 � ? � ?       5 5 (a) (b) cos = sec = cos = sec = 6 6 3 3 � ? � ?       5 5 tan = cot = tan = cot = 6 6 3 3   sin(495 )= csc(495 )= (c)   cos(495 )= sec(495 )=   tan(495 )= cot(495 )= 4 2. Given that cos() = and that csc()<>

Answered Same Day Dec 26, 2021

Solution

David answered on Dec 26 2021
111 Votes
1. (a)
2
1
)
6
sin( 


2
3
)
6
cos( 


3
1
)
6
tan( 


2)
6
csc( 


3
2
)
6
sec( 

3)
6
cot( 

(b)
2
3
)
3
sin()2
3
5
sin()
3
5
sin( 







2
1
)
3
cos()2
3
5
cos()
3
5
cos( 






3)
3
tan()2
3
5
tan()
3
5
tan( 







3
2
)
3
csc()2
3
5
csc()
3
5
csc( 






2)
3
sec()2
3
5
sec()
3
5
sec( 







3
1
)
3
cot()2
3
5
cot()
3
5
cot( 





(c)
2
1
)135sin()360495sin()495sin( 0000 

2
1
)135cos()360495cos()495cos( 0000


1)135tan()360495tan()495tan( 0000 
2)135csc()360495csc()495csc( 0000 
2)135sec()360495sec()495sec( 0000 
1)135cot()360495cot()495cot(...
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