Expression 10: left parenthesis, 1 plus cos left parenthesis, "k" "t" plus pi , right parenthesis , sin left parenthesis, "k" "t" plus pi , right parenthesis left brace, 2 less than "K" less than 3 , right brace , right parenthesis1+coskt+π,sinkt+π2<K<3
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
10
Expression 11: left parenthesis, 1 plus cos "t" , sin "t" left brace, "K" greater than or equal to 3 , right brace , right parenthesis1+cost,sintK≥3
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
11
Expression 12: left parenthesis, "k" "t" cos StartFraction, pi Over 3 , EndFraction , "k" "t" sin StartFraction, pi Over 3 , EndFraction left brace, 3 less than "K" less than 4 , right brace , right parenthesisktcosπ3,ktsinπ33<K<4
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
12
Expression 13: left parenthesis, "t" cos StartFraction, pi Over 3 , EndFraction , "t" sin StartFraction, pi Over 3 , EndFraction left brace, "K" greater than or equal to 4 , right brace , right parenthesistcosπ3,tsinπ3K≥4
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
13
Expression 14: left parenthesis, 1 plus "k" "t" cos StartFraction, 2 pi Over 3 , EndFraction , "k" "t" sin StartFraction, 2 pi Over 3 , EndFraction left brace, 4 less than "K" less than 5 , right brace , right parenthesis1+ktcos2π3,ktsin2π34<K<5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
14
Expression 15: left parenthesis, 1 plus "t" cos StartFraction, 2 pi Over 3 , EndFraction , "t" sin StartFraction, 2 pi Over 3 , EndFraction left brace, "K" greater than or equal to 5 , right brace , right parenthesis1+tcos2π3,tsin2π3K≥5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
15
Hidden Label: left parenthesis, cos StartFraction, pi Over 3 , EndFraction , sin StartFraction, pi Over 3 , EndFraction left brace, "K" greater than or equal to 5 , right brace , right parenthesiscosπ3,sinπ3K≥5
Label
equals=
left parenthesis, 0.5 , 0.8 6 6 0 2 5 4 , right parenthesis0.5,0.8660254
16
Expression 17: left parenthesis, .5 , StartFraction, "a" "t" Over 20 , EndFraction left brace, "K" greater than or equal to 5 , right brace , right parenthesis.5,at20K≥5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
17
Expression 18: left parenthesis, StartFraction, 10cos StartNestedFraction, pi NestedOver 3 , EndNestedFraction minus "a" "t" sin StartNestedFraction, pi NestedOver 3 , EndNestedFraction Over 20 , EndFraction , StartFraction, 10sin StartNestedFraction, pi NestedOver 3 , EndNestedFraction plus "a" "t" cos StartNestedFraction, pi NestedOver 3 , EndNestedFraction Over 20 , EndFraction left brace, "K" greater than or equal to 5 , right brace , right parenthesis10cosπ3−atsinπ320,10sinπ3+atcosπ320K≥5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
18
Expression 19: left parenthesis, 1 plus StartFraction, 10cos StartNestedFraction, 2 pi NestedOver 3 , EndNestedFraction minus "a" "t" sin StartNestedFraction, 2 pi NestedOver 3 , EndNestedFraction Over 20 , EndFraction , StartFraction, 10sin StartNestedFraction, 2 pi NestedOver 3 , EndNestedFraction plus "a" "t" cos StartNestedFraction, 2 pi NestedOver 3 , EndNestedFraction Over 20 , EndFraction left brace, "K" greater than or equal to 5 , right brace , right parenthesis1+10cos2π3−atsin2π320,10sin2π3+atcos2π320K≥5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
19
Expression 20: "a" equals left bracket, negative 1 , 1 , right bracketa=−1,1