{"text_format":"3","workbook":"xlsx","n_sheets":2,"sheets":["Sheet1","Sheet2"],"not_rendered":{"images":2,"defined_names":7},"read":"whole","date_system":"1900"}

{"sheet":"Sheet1","index":0,"n_rows":187,"n_cols":17,"rows_kept":187,"merged":[[0,2,0,19],[1,2,1,19],[2,2,2,19],[3,4,3,17],[4,4,5,17],[7,3,7,18],[8,3,8,5],[8,6,8,11],[8,12,8,17],[9,3,9,5],[9,6,9,11],[9,12,9,17],[10,3,10,18],[11,3,11,18],[12,4,12,17],[13,4,13,17],[14,3,14,18],[15,3,15,5],[15,6,15,11],[15,12,15,17],[16,3,16,5],[16,6,16,11],[16,12,16,17],[17,3,17,18],[18,3,18,18],[20,4,20,17],[21,4,21,17],[23,3,23,18],[24,3,24,5],[24,7,24,18],[25,3,25,18],[26,3,26,18],[27,3,27,18],[29,16,29,18],[30,5,36,5],[30,6,30,18],[33,6,33,8],[33,9,33,18],[34,9,34,18],[35,9,35,18],[36,6,36,18],[37,4,37,17],[38,3,38,18],[39,4,39,17],[40,4,40,17],[42,16,42,18],[43,5,49,5],[43,6,43,18],[46,6,46,8],[46,9,46,18],[47,9,47,18],[48,9,48,18],[49,6,49,18],[50,4,50,17],[51,3,51,18],[52,4,52,17],[53,4,53,17],[55,16,55,18],[56,6,56,18],[59,5,59,8],[59,9,59,18],[60,9,60,18],[61,9,61,18],[62,6,62,18],[63,4,63,17],[64,3,64,18],[65,4,65,17],[66,4,66,17],[68,16,68,18],[69,5,69,18],[72,6,72,8],[72,9,72,18],[73,9,73,18],[74,9,74,18],[75,5,75,18],[76,4,76,17],[77,3,77,18],[78,4,78,17],[79,4,79,17],[81,16,81,18],[82,4,82,18],[85,4,85,9],[85,10,85,18],[86,4,87,4],[86,9,86,18],[87,9,87,18],[88,4,88,18],[89,4,89,17],[90,3,90,18],[91,4,91,17],[92,4,92,17],[94,16,94,18],[95,5,95,18],[98,4,98,9],[98,10,98,18],[99,9,99,18],[100,9,100,18],[101,5,101,18],[102,4,102,17],[103,3,103,18],[104,4,104,17],[105,4,105,17],[107,16,107,18],[108,5,108,18],[111,4,111,9],[111,10,111,18],[112,9,112,18],[113,9,113,18],[114,5,114,18],[115,4,115,17],[116,3,116,18],[117,4,117,17],[118,4,118,17],[120,16,120,18],[121,5,121,18],[124,5,124,9],[124,10,124,18],[125,9,125,18],[126,9,126,18],[127,5,127,18],[128,4,128,17],[129,3,129,18],[130,4,130,17],[131,4,131,17],[133,16,133,18],[134,5,139,5],[134,6,134,18],[137,6,137,8],[137,9,137,18],[138,9,138,18],[139,9,139,18],[140,6,140,18],[141,4,141,17],[142,3,142,18],[143,4,143,17],[144,4,144,17],[146,16,146,18],[147,5,152,5],[147,6,147,18],[150,6,150,8],[150,9,150,18],[151,9,151,18],[152,9,152,18],[153,6,153,18],[154,4,154,17],[155,3,155,18],[156,4,156,17],[157,4,157,17],[159,16,159,18],[160,6,160,18],[163,5,163,8],[163,9,163,18],[164,9,164,18],[165,9,165,18],[166,6,166,18],[167,4,167,17],[168,3,168,18],[169,4,169,17],[170,4,170,17],[172,16,172,18],[173,5,178,5],[173,6,173,18],[176,6,176,8],[176,9,176,18],[177,9,177,18],[178,9,178,18],[179,6,179,18],[180,4,180,17],[181,3,181,18],[182,4,182,17],[183,4,183,17]]}
[null,null,"Tangent-Cotangent-Integral-Calculus-Generator"]
[null,null,"Designed to Help Students Practice Solving Trigonometric Integrals"]
[null,null,"Created by David Alderoty © 2011, e-mail David@TechForText.com"]
[{"$nulls":4},"Enter numbers for angles B and A in the white boxes below, and then this software will generate twelve integrals for you to solve, involving tangent and cotangent.  It is best to enter angles less than 90 degrees, but greater than 0 degrees.    If this is not done some of the integrals will not have calculated results."]
[{"$nulls":4},"      You can enter the angles, in either radians or degrees, but if you do not want to deal with decimals enter the angles in degrees.  If you want to enter radians, use the white boxes on the left, but if you want to enter degrees use the boxes on the right.  When numbers are entered in radians, this software was designed to calculate it in terms of a fraction or multiple of PI.  Examples are: if you enter 2, the software calculates it as 2pi radians (=360°), if you enter 1 it is calculated as 1pi (=180°), if you enter 0.5 it is calculated as 0.5pi, (=90°) etc."]
[]
[]
[{"$nulls":3},{"$f":"IF( (COUNTA(G10  )+COUNTA(M10))=2, \"You cannot enter numbers in both the left and right input box.\", \"INPUT BOX FOR ANGLE B\" )","v":"INPUT BOX FOR ANGLE B"}]
[{"$nulls":3},"Angle",null,null,"INPUT BOX FOR RADIANS, (in terms of a fraction or multiple of pi )",{"$nulls":5},"THIS INPUT BOX IS FOR DEGREES ONLY"]
[{"$f":"PI()*E14","v":0},null,null,"  B  ="]
[{"$nulls":3},{"$f":"\"The entered angle is \"& ROUND(E14, Rd )& \"pi Radians\"","v":"The entered angle is 0pi Radians"}]
[{"$nulls":3},{"$f":"\"This is equal to \"& ROUND((180*E14), Rd)&\" Degrees\"","v":"This is equal to 0 Degrees"}]
[{"$nulls":4},{"$f":"ROUND((180*E14), Rd)","v":0}]
[{"$nulls":4},{"$f":"IF(COUNTA(M10)=0,G10, RADIANS(M10)/PI())","v":0}]
[{"$nulls":3},{"$f":"IF( (COUNTA(G17  )+COUNTA(M17))=2, \"You cannot enter numbers in both the left and right input box.\", \"INPUT BOX FOR ANGLE A\" )","v":"INPUT BOX FOR ANGLE A"}]
[{"$nulls":3},"Angle",null,null,"INPUT BOX FOR RADIANS, (in terms of a fraction or multiple of pi )",{"$nulls":5},"THIS INPUT BOX IS FOR DEGREES ONLY"]
[{"$f":"PI()*E21","v":0},null,null,"  A  ="]
[{"$nulls":3},{"$f":"\"The entered angle is \"& ROUND(E21,Rd)&\"pi Radians\"","v":"The entered angle is 0pi Radians"}]
[{"$nulls":3},{"$f":"\"This is equal to \"& ROUND((180*E21), Rd) &\" Degrees\"","v":"This is equal to 0 Degrees"}]
[]
[{"$nulls":4},{"$f":"IF(COUNTA(M17)=0,G17, RADIANS(M17)/PI())","v":0}]
[{"$nulls":4},{"$f":"ROUND((180*E21), Rd)","v":0}]
[]
[{"$nulls":3},"  All the numbers that are calculated by this software are automatically  "]
[{"$nulls":3}," rounded to",null,null,5,"decimal places.  You can change this, by deleting"]
[{"$nulls":3},{"$f":"\" the \" & Rd& \" (in blue type) in the above input box.  Then enter the\"","v":" the 5 (in blue type) in the above input box.  Then enter the"}]
[{"$nulls":3}," number of decimal places you prefer, in the same input box."]
[]
[]
[{"$nulls":16},"Problem 1"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":6},"tan(Q)dQ =",null,null,{"$f":"(IF(E38=Hide, \"The calculated result is concealed\",  ROUND(E41,Rd )))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E38=Hide, \"To display the calculated result, use\", \"\")","v":"To display the calculated result, use"}]
[{"$nulls":9},{"$f":"IF(E38=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E38=Hide, \"\", E40)","v":""}]
[{"$nulls":4},"Formula Spreadsheet=(-LN(COS(B)))-(-LN(COS(A)))"]
[{"$nulls":4},{"$f":"(-LN(COS(B)))- (-LN(COS(A)))","v":0}]
[]
[{"$nulls":16},"Problem 2"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":6},"cot(Q)dQ =",null,null,{"$f":"(IF(E51=Hide, \"The calculated result is concealed\", ROUND(E54, Rd)) )","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E51=Hide, \"To display the calculated result, use\", \"\")","v":"To display the calculated result, use"}]
[{"$nulls":9},{"$f":"IF(E51=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E51=Hide, \"\", E53)","v":""}]
[{"$nulls":4},"Spreadsheet formula for the above=LN(SIN(B))-LN(SIN(A))"]
[{"$nulls":4},{"$f":"LN(SIN(B))-LN(SIN(A))","v":{"$error":"#NUM!"}}]
[]
[{"$nulls":16},"Problem 3"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":5},"tan(Q)2dQ =",{"$nulls":3},{"$f":"(IF(E64=Hide, \"The calculated result is concealed\",  ROUND(E67,Rd )))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E64=Hide, \"To display the calculated result, use\", \"\")","v":"To display the calculated result, use"}]
[{"$nulls":9},{"$f":"IF(E64=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E64=Hide, \"\", E66)","v":""}]
[{"$nulls":4},"Spreadsheet formula=(TAN(B)-B)-(TAN(A)-A)"]
[{"$nulls":4},{"$f":"(TAN(B)-B)-(TAN(A)-A)","v":0}]
[]
[{"$nulls":16},"Problem 4"]
[{"$nulls":5},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":6},"cot(Q)2dQ=",null,null,{"$f":"(IF(E77=Hide, \"The calculated result is concealed\", ROUND(E80, Rd )))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E77=Hide, \"To display the calculated result, use\", \"\")","v":"To display the calculated result, use"}]
[{"$nulls":9},{"$f":"IF(E77=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":5},{"$f":"\"  \"&ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"  0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E77=Hide, \"\", E79)","v":""}]
[{"$nulls":4},"Spreadsheet formula=(-B-(1/TAN(B) ))-(-A-(1/TAN(A) ))"]
[{"$nulls":4},{"$f":"(-B-(1/TAN(B) ))-(-A-(1/TAN(A) ))","v":{"$error":"#DIV/0!"}}]
[]
[{"$nulls":16},"Problem 5"]
[{"$nulls":4},{"$f":"\"     \"&ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"     0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":4},"  cot(Q)+tan(Q)dQ =",{"$nulls":5},{"$f":"IF(E90=Hide, \"The calculated result is concealed\", ROUND(E93,Rd))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E90=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E90=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":4},{"$f":"\"     \"&ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"     0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E90=Hide, \"\", E92)","v":""}]
[{"$nulls":4},"Spreadsheet formula=(LN(SIN(B))-LN(COS(B)))-(LN(SIN(A))-LN(COS(A)))"]
[{"$nulls":4},{"$f":"( LN(SIN(B))-LN(COS(B)) )-( LN(SIN(A))-LN(COS(A)) )","v":{"$error":"#NUM!"}}]
[]
[{"$nulls":16},"Problem 6"]
[{"$nulls":5},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":4},"  cot(Q)2+tan(Q)2dQ =",{"$nulls":5},{"$f":"(IF(E103=Hide, \"The calculated result is concealed\", ROUND(E106, Rd )))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E103=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E103=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":5},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E103=Hide, \"\", E105)","v":""}]
[{"$nulls":4},"St. F =(TAN(B)-(1/TAN(B))-2*B)-(TAN(A)-(1/TAN(A))-2*A)"]
[{"$nulls":4},{"$f":"(TAN(B)-(1/TAN(B))-2*B)-(TAN(A)-(1/TAN(A))-2*A)","v":{"$error":"#DIV/0!"}}]
[]
[{"$nulls":16},"Problem 7"]
[{"$nulls":5},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":4},"  cot(Q)3+tan(Q)3dQ = ",{"$nulls":5},{"$f":"(IF(E116=Hide, \"The calculated result is concealed\",  ROUND(E119,Rd)))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E116=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E116=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":5},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E116=Hide, \"\", E118)","v":""}]
[{"$nulls":4},"Sf=(((TAN(B)^2)-((1/TAN(B))^2)+2*LN(COS(B))-2*LN(SIN(B)))-((TAN(A)^2)-((1/TAN(A))^2)+2*LN(COS(A))-2*LN(SIN(A))))/2"]
[{"$nulls":4},{"$f":"( ((TAN(B)^2)-((1/TAN(B))^2)+2*LN(COS(B))-2*LN(SIN(B)))-((TAN(A)^2)-((1/TAN(A))^2)+2*LN(COS(A))-2*LN(SIN(A))))/2","v":{"$error":"#DIV/0!"}}]
[]
[{"$nulls":16},"Problem 8"]
[{"$nulls":5},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":4}," ","tan(Q)cot(Q)dQ =",{"$nulls":4},{"$f":"(IF(E129=Hide, \"The calculated result is concealed\", ROUND( E132,Rd) ))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E129=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E129=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":5},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E129=Hide, \"\", E131)","v":""}]
[{"$nulls":4},"Spreadsheet formula=B-A"]
[{"$nulls":4},{"$f":"B-A","v":0}]
[]
[{"$nulls":16},"Problem 9"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":6},"tan(Q)3dQ=",null,null,{"$f":"(IF(E142=Hide, \"The calculated result is concealed\",  ROUND(E145,Rd )))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E142=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E142=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E142=Hide, \"\", E144)","v":""}]
[{"$nulls":4},"S Formula=((TAN(B)^2+ 2*LN(COS(B)))-(TAN(A)^2+ 2*LN(COS(A))))/2"]
[{"$nulls":4},{"$f":"((TAN(B)^2+ 2*LN(COS(B)))-(TAN(A)^2+ 2*LN(COS(A))))/2","v":0}]
[]
[{"$nulls":16},"Problem 10"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":6},"cot(Q)3dQ =",null,null,{"$f":"(IF(E155=Hide, \"The calculated result is concealed\",  ROUND(E158, Rd) ))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E155=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E155=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E155=Hide, \"\", E157)","v":""}]
[{"$nulls":4},"S f =((-((1/TAN(B))^2)-2*LN(SIN(B)))-(-((1/TAN(A))^2)-2*LN(SIN(A))))/2"]
[{"$nulls":4},{"$f":"((-((1/TAN(B))^2)-2*LN(SIN(B)))-(-((1/TAN(A))^2)-2*LN(SIN(A))))/2","v":{"$error":"#DIV/0!"}}]
[{"$nulls":4},"Z"]
[{"$nulls":16},"Problem 11"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":5},"tan(Q)4dQ =",{"$nulls":3},{"$f":"(IF(E168=Hide, \"The calculated result is concealed\",  ROUND(E171, Rd) ))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E168=Hide, \"To display the calculated result,use\", \"\")","v":"To display the calculated result,use"}]
[{"$nulls":9},{"$f":"IF(E168=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND((A/PI()),Rd)&\"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E168=Hide, \"\", E170)","v":""}]
[{"$nulls":4},"S f=(((TAN(B)^3)-3*TAN(B)+3*B)-((TAN(A)^3)-3*TAN(A)+3*A))/3"]
[{"$nulls":4},{"$f":"(((TAN(B)^3)-3*TAN(B)+3*B)-((TAN(A)^3)-3*TAN(A)+3*A))/3","v":0}]
[]
[{"$nulls":16},"Problem 12"]
[{"$nulls":6},{"$f":"ROUND((B/PI()), Rd)& \"pi Radians or \"&dB&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[]
[]
[{"$nulls":6},"cot(Q)4dQ =",null,null,{"$f":"(IF(E181=Hide, \"The calculated result is concealed\",  ROUND(E184, Rd )))","v":"The calculated result is concealed"}]
[{"$nulls":9},{"$f":"IF(E181=Hide, \"To display the calculated result, use\", \"\")","v":"To display the calculated result, use"}]
[{"$nulls":9},{"$f":"IF(E181=Hide, \"the pink pull-down menu below.\", \"\")","v":"the pink pull-down menu below."}]
[{"$nulls":6},{"$f":"ROUND( (A/PI()), Rd )& \"pi Radians or \"&dA&\" Degrees\"","v":"0pi Radians or 0 Degrees"}]
[{"$nulls":4},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":3},{"$f":"IF(E181=Hide, \"\", E183)","v":""}]
[{"$nulls":4},"Sf=((3*(1/TAN(B))-((1/TAN(B))^3)+3*B)-(3*(1/TAN(A))-((1/TAN(A))^3)+3*A))/3"]
[{"$nulls":4},{"$f":"((3*(1/TAN(B))-((1/TAN(B))^3)+3*B)-(3*(1/TAN(A))-((1/TAN(A))^3)+3*A))/3","v":{"$error":"#DIV/0!"}}]
[]
[{"$nulls":10},"To display result, left click HERE, and move the menu downward"]
[{"$nulls":10},"The Calculated Result, Displayed Above in Red Type."]

{"sheet":"Sheet2","index":1,"n_rows":0,"n_cols":0,"rows_kept":0}