นิพจน์ 12: "A" equals left bracket, negative 180 , negative 180 plus StartFraction, 360 Over "n" minus 1 , EndFraction ...1 8 0 , right bracketA=−180,−180+360n−1...180
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นิพจน์ 13: "T" equals 1.0 8T=1.08
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นิพจน์ 14:
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นิพจน์ 15: "c" equals negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "a" , right parenthesis , EndRoot plus "d" cosine left parenthesis, "a" , right parenthesisc=−r2−d2sin2a+dcosa
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นิพจน์ 16: left parenthesis, "T" sin left parenthesis, "A" , right parenthesis , "T" cos left parenthesis, "A" , right parenthesis left brace, "T" less than or equal to negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "A" , right parenthesis , EndRoot plus "d" cos left parenthesis, "A" , right parenthesis , "r" less than or equal to "d" sin left parenthesis, StartAbsoluteValue, "A" , EndAbsoluteValue , right parenthesis , 270 greater than StartAbsoluteValue, "A" , EndAbsoluteValue greater than 90 , right brace , right parenthesisTsinA,TcosAT≤−r2−d2sin2A+dcosA,r≤dsinA,270>A>90
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นิพจน์ 17: left parenthesis, "t" sin left parenthesis, "A" , right parenthesis , "t" cos left parenthesis, "A" , right parenthesis left brace, "t" less than or equal to negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "A" , right parenthesis , EndRoot plus "d" cos left parenthesis, "A" , right parenthesis , "r" less than or equal to "d" sin left parenthesis, StartAbsoluteValue, "A" , EndAbsoluteValue , right parenthesis , 270 greater than StartAbsoluteValue, "A" , EndAbsoluteValue greater than 90 , right brace left brace, "t" less than or equal to "T" , right brace , right parenthesistsinA,tcosAt≤−r2−d2sin2A+dcosA,r≤dsinA,270>A>90t≤T
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นิพจน์ 18: left parenthesis, "T" sin left parenthesis, "t" , right parenthesis , "T" cos left parenthesis, "t" , right parenthesis left brace, "T" less than or equal to negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "t" , right parenthesis , EndRoot plus "d" cos left parenthesis, "t" , right parenthesis , "r" less than or equal to "d" sin left parenthesis, StartAbsoluteValue, "t" , EndAbsoluteValue , right parenthesis , StartAbsoluteValue, "t" , EndAbsoluteValue greater than 90 , right brace , right parenthesisTsint,TcostT≤−r2−d2sin2t+dcost,r≤dsint,t>90
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นิพจน์ 19: left parenthesis, negative left parenthesis, "T" minus "C" left parenthesis, "A" , right parenthesis , right parenthesis sin left parenthesis, "A" minus 2sin to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 1 , Baseline Over "r" , EndFraction sin left parenthesis, "A" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "A" , right parenthesis , EndRoot plus "d" cos left parenthesis, "A" , right parenthesis , right parenthesis sin left parenthesis, "A" , right parenthesis , negative left parenthesis, "T" minus "C" left parenthesis, "A" , right parenthesis , right parenthesis cos left parenthesis, "A" minus 2sin to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 1 , Baseline Over "r" , EndFraction sin left parenthesis, "A" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "A" , right parenthesis , EndRoot plus "d" cos left parenthesis, "A" , right parenthesis , right parenthesis cos left parenthesis, "A" , right parenthesis left brace, "T" greater than or equal to "C" left parenthesis, "A" , right parenthesis greater than or equal to 0 , right brace , right parenthesis−T−CAsinA−2sin−1y1rsinA+−r2−d2sin2A+dcosAsinA,−T−CAcosA−2sin−1y1rsinA+−r2−d2sin2A+dcosAcosAT≥CA≥0
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นิพจน์ 20: left parenthesis, negative left parenthesis, "t" minus "C" left parenthesis, "A" , right parenthesis , right parenthesis sin left parenthesis, "A" minus 2sin to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 1 , Baseline Over "r" , EndFraction sin left parenthesis, "A" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "A" , right parenthesis , EndRoot plus "d" cos left parenthesis, "A" , right parenthesis , right parenthesis sin left parenthesis, "A" , right parenthesis , negative left parenthesis, "t" minus "C" left parenthesis, "A" , right parenthesis , right parenthesis cos left parenthesis, "A" minus 2sin to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 1 , Baseline Over "r" , EndFraction sin left parenthesis, "A" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "A" , right parenthesis , EndRoot plus "d" cos left parenthesis, "A" , right parenthesis , right parenthesis cos left parenthesis, "A" , right parenthesis left brace, "t" greater than or equal to "C" left parenthesis, "A" , right parenthesis greater than or equal to 0 , right brace left brace, "t" less than or equal to "T" , right brace , right parenthesis−t−CAsinA−2sin−1y1rsinA+−r2−d2sin2A+dcosAsinA,−t−CAcosA−2sin−1y1rsinA+−r2−d2sin2A+dcosAcosAt≥CA≥0t≤T
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นิพจน์ 21: left parenthesis, negative left parenthesis, "T" minus "C" left parenthesis, "t" , right parenthesis , right parenthesis sin left parenthesis, "t" minus 2sin to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 1 , Baseline Over "r" , EndFraction sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "t" , right parenthesis , EndRoot plus "d" cos left parenthesis, "t" , right parenthesis , right parenthesis sin left parenthesis, "t" , right parenthesis , negative left parenthesis, "T" minus "C" left parenthesis, "t" , right parenthesis , right parenthesis cos left parenthesis, "t" minus 2sin to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 1 , Baseline Over "r" , EndFraction sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "t" , right parenthesis , EndRoot plus "d" cos left parenthesis, "t" , right parenthesis , right parenthesis cos left parenthesis, "t" , right parenthesis left brace, "T" greater than or equal to "C" left parenthesis, "t" , right parenthesis greater than or equal to 0 , right brace , right parenthesis−T−Ctsint−2sin−1y1rsint+−r2−d2sin2t+dcostsint,−T−Ctcost−2sin−1y1rsint+−r2−d2sin2t+dcostcostT≥Ct≥0
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นิพจน์ 22: "C" left parenthesis, "x" , right parenthesis equals negative StartRoot, "r" squared minus "d" squared sin squared left parenthesis, "x" , right parenthesis , EndRoot plus "d" cosine left parenthesis, "x" , right parenthesisCx=−r2−d2sin2x+dcosx