Expression 10: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 half left parenthesis, StartNestedFraction, 1 NestedOver cos left parenthesis, theta minus 60 minus left parenthesis, 2 times 60 , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis Over StartNestedFraction, 1 NestedOver StartRoot, 2 , EndRoot , EndNestedFraction left parenthesis, StartNestedFraction, 1 NestedOver cos left parenthesis, theta minus 45 minus left parenthesis, 4 times 45 , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis , EndFraction left brace, 180 less than or equal to theta less than or equal to 240 , right bracerθ=121cosθ−60−2·60121cosθ−45−4·45180≤θ≤240
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Expression 11: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 half left parenthesis, StartNestedFraction, 1 NestedOver cos left parenthesis, theta minus 60 minus left parenthesis, 4 times 60 , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis Over StartNestedFraction, 1 NestedOver StartRoot, 2 , EndRoot , EndNestedFraction left parenthesis, StartNestedFraction, 1 NestedOver cos left parenthesis, theta minus 45 minus left parenthesis, 4 times 45 , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis , EndFraction left brace, 240 less than or equal to theta less than or equal to 270 , right bracerθ=121cosθ−60−4·60121cosθ−45−4·45240≤θ≤270
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Expression 12: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 half left parenthesis, StartNestedFraction, 1 NestedOver cos left parenthesis, theta minus 60 minus left parenthesis, 4 times 60 , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis Over StartNestedFraction, 1 NestedOver StartRoot, 2 , EndRoot , EndNestedFraction left parenthesis, StartNestedFraction, 1 NestedOver cos left parenthesis, theta minus 45 minus left parenthesis, 6 times 45 , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis , EndFraction left brace, 270 less than or equal to theta less than or equal to 360 , right bracerθ=121cosθ−60−4·60121cosθ−45−6·45270≤θ≤360
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Expression 13: "r" left parenthesis, theta , right parenthesis equals 1 half left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 60 , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−60
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Expression 14: "r" left parenthesis, theta , right parenthesis equals 1 half left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 60 minus left parenthesis, 2 times 60 , right parenthesis , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−60−2·60
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Expression 15: "r" left parenthesis, theta , right parenthesis equals 1 half left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 60 minus left parenthesis, 4 times 60 , right parenthesis , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−60−4·60
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Expression 16: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 45 , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−45
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Expression 17: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 45 minus left parenthesis, 2 times 45 , right parenthesis , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−45−2·45
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Expression 18: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 45 minus left parenthesis, 4 times 45 , right parenthesis , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−45−4·45
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Expression 19: "r" left parenthesis, theta , right parenthesis equals StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction left parenthesis, StartFraction, 1 Over cos left parenthesis, theta minus 45 minus left parenthesis, 6 times 45 , right parenthesis , right parenthesis , EndFraction , right parenthesisrθ=121cosθ−45−6·45