Expression 3: polygon left parenthesis, cos left parenthesis, 2 pi StartFraction, left bracket, 1... "n" , right bracket Over "n" , EndFraction , right parenthesis , sin left parenthesis, 2 pi StartFraction, left bracket, 1... "n" , right bracket Over "n" , EndFraction , right parenthesis , right parenthesispolygoncos2π1...nn,sin2π1...nn
3
Expression 4: left parenthesis, cos left parenthesis, 2 pi StartFraction, left bracket, 1... "n" , right bracket Over "n" , EndFraction , right parenthesis , sin left parenthesis, 2 pi StartFraction, left bracket, 1... "n" , right bracket Over "n" , EndFraction , right parenthesis , right parenthesis "t" plus left parenthesis, 1 minus "t" , right parenthesis left parenthesis, cos left parenthesis, 2 pi StartFraction, left bracket, 1... "n" , right bracket minus 1 Over "n" , EndFraction , right parenthesis , sin left parenthesis, 2 pi StartFraction, left bracket, 1... "n" , right bracket minus 1 Over "n" , EndFraction , right parenthesis , right parenthesiscos2π1...nn,sin2π1...nnt+1−tcos2π1...n−1n,sin2π1...n−1n
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
4
Expression 5: left parenthesis, cos left parenthesis, 2 pi StartFraction, ceil left parenthesis, "n" "t" , right parenthesis Over "n" , EndFraction , right parenthesis , sin left parenthesis, 2 pi StartFraction, ceil left parenthesis, "n" "t" , right parenthesis Over "n" , EndFraction , right parenthesis , right parenthesis mod left parenthesis, "n" "t" , 1 , right parenthesis plus left parenthesis, 1 minus mod left parenthesis, "n" "t" , 1 , right parenthesis , right parenthesis left parenthesis, cos left parenthesis, 2 pi StartFraction, floor left parenthesis, "n" "t" , right parenthesis Over "n" , EndFraction , right parenthesis , sin left parenthesis, 2 pi StartFraction, floor left parenthesis, "n" "t" , right parenthesis Over "n" , EndFraction , right parenthesis , right parenthesiscos2πceilntn,sin2πceilntnmodnt,1+1−modnt,1cos2πfloorntn,sin2πfloorntn
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
5
Expression 6: left parenthesis, Start sum from "k" equals 0 to "n" , end sum, StartFraction, 1 minus StartAbsoluteValue, "n" "t" minus "k" , EndAbsoluteValue plus StartAbsoluteValue, 1 minus StartAbsoluteValue, "n" "t" minus "k" , EndAbsoluteValue , EndAbsoluteValue Over 2 , EndFraction cos left parenthesis, 2 pi StartFraction, "k" Over "n" , EndFraction , right parenthesis , Start sum from "k" equals 0 to "n" , end sum, StartFraction, 1 minus StartAbsoluteValue, "n" "t" minus "k" , EndAbsoluteValue plus StartAbsoluteValue, 1 minus StartAbsoluteValue, "n" "t" minus "k" , EndAbsoluteValue , EndAbsoluteValue Over 2 , EndFraction sin left parenthesis, 2 pi StartFraction, "k" Over "n" , EndFraction , right parenthesis , right parenthesisn∑k=01−nt−k+1−nt−k2cos2πkn,n∑k=01−nt−k+1−nt−k2sin2πkn
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤