Expression 10: left parenthesis, negative "R" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis , negative "R" Subscript, 4 , Baseline left parenthesis, "t" , right parenthesis , right parenthesis−R3t,−R4t
domain t Minimum: negative 2 tau−2τ
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 tau2τ
10
Expression 11: "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals "R" left parenthesis, 1 minus cos "t" , right parenthesis cosine "t"C1t=R1−costcost
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Expression 12: "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals "R" left parenthesis, 1 minus cos "t" , right parenthesis sine "t"C2t=R1−costsint
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Expression 13: "r" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, negative beta , right parenthesis minus "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, negative beta , right parenthesisr1t=C1tcos−β−C2tsin−β
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Expression 14: "r" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, negative beta , right parenthesis plus "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, negative beta , right parenthesisr2t=C2tcos−β+C1tsin−β
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Expression 15: "r" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, StartFraction, pi Over 4 , EndFraction minus beta , right parenthesis minus "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, StartFraction, pi Over 4 , EndFraction minus beta , right parenthesisr3t=C1tcosπ4−β−C2tsinπ4−β
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Expression 16: "r" Subscript, 4 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, StartFraction, pi Over 4 , EndFraction minus beta , right parenthesis plus "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, StartFraction, pi Over 4 , EndFraction minus beta , right parenthesisr4t=C2tcosπ4−β+C1tsinπ4−β
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Expression 17: "R" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, negative beta , right parenthesis minus "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, beta , right parenthesisR1t=C1tcos−β−C2tsinβ
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Expression 18: "R" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, negative beta , right parenthesis plus "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, beta , right parenthesisR2t=C2tcos−β+C1tsinβ
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Expression 19: "R" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, negative StartFraction, pi Over 4 , EndFraction minus beta , right parenthesis minus "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, StartFraction, pi Over 4 , EndFraction plus beta , right parenthesisR3t=C1tcos−π4−β−C2tsinπ4+β
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Expression 20: "R" Subscript, 4 , Baseline left parenthesis, "t" , right parenthesis equals "C" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis cosine left parenthesis, negative StartFraction, pi Over 4 , EndFraction minus beta , right parenthesis plus "C" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis sine left parenthesis, StartFraction, pi Over 4 , EndFraction plus beta , right parenthesisR4t=C2tcos−π4−β+C1tsinπ4+β