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{"$rows_empty":9}
[{"$nulls":5},"b"]
[{"$nulls":6},"C =",4]
[null,"A=",false]
[{"$nulls":5},"\\"]
[{"$nulls":6},"a"]
[null,null,"B=",null,4]
[]
[]
[null,"Sin(a) = ",null,2,null,null,"=",0.5]
[{"$nulls":3},4]
[null,"X=",{"$nulls":3},0.5235987755982989]
[null,"X=",{"$nulls":3},30.000000000000004]
[null,"Cos(a)=",null,4,null,null,"=",1]
[{"$nulls":3},4]
[null,"Tan(a)=",null,false,null,null,"=",0]
[{"$nulls":3},4]
[null,"Cot(X)=",null,2,null,null,"=",0.5]
[{"$nulls":3},4]
{"$rows_empty":9}
[{"$nulls":5},1]

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[null,null,"Description of: The PolyTrig Calculator, Created By David@TechForText.com, ©2010"]
[null,null,"This calculation device (the PolyTrig Calculator) carries out over 30 trigonometric calculations simultaneously, when the user enters numbers for the height and base of a right triangle.  The Calculator has five sections, and many formulas in the conventional and spreadsheet formats."]
[null,null," Simple Three-Step Instructions: 1)  Delete the numbers in the two white Input boxes below. (To enter or delete numbers, you must first left click with the mouse on the relevant, white input box.) "]
[null,null,"2) Enter the height of your right triangle in Input box A, and the length of the base in Input box B."]
[null,null,"3) For calculated results; left click with the mouse on the yellow background, or on the calculation button. Scroll down to view results.  (This page is about 6 computer screens from top to bottom.)"]
[null,null,"This is Input Box A, which is for the height",{"$nulls":6},"This is Input Box B, which is for the length"]
[null,null,"of the triangle.  (Altitude or Opposite side) ",{"$nulls":6}," of the base of the triangle. (Adjacent Side)"]
[null,null,"A=",3,{"$nulls":5},"B =",4]
[null,null,"Section 1)    Calculations without the Trigonometric Functions"]
[null," ","A=The height of the triangle =",{"$nulls":4},3]
[{"$nulls":8},"Area of Triangle  =",null,null,6]
[null,null,"This is the height triangle. It is also the altitude or opposite side of the triangle. ",{"$nulls":6},"Spreadsheet formula for the above =A*B/2"]
[{"$nulls":8},"H = Hypotenuse =",null,null,5]
[{"$nulls":9},"Spreadsheet formula for above =((A^2)+(B^2))^(0.5) "]
[null,null,"The dimensions of this right triangle are used for all the calculations performed by the PolyTrig Calculator.  This includes, height, length of base and hypotenuse, and the size of angles a and b"]
[{"$nulls":8}," Perimeter =",null,null,12]
[{"$nulls":9},"Spreadsheet formula for the above = A+B+H"]
[]
[{"$nulls":6},"B  =  Base (Adjacent Side)  =",{"$nulls":3},4]
[null,null,"Angle a, radians  =",null,null,0.6435011087932844,{"$nulls":3},"Angle b Radians =",null,null,0.9272952180016122]
[null,null,"Spreadsheet formula for the above =ATAN(A/B)",{"$nulls":6},"Spreadsheet formula for the above =ATAN(A/B)"]
[null," ","Angle a Degrees =",null,null,36.86989764584402,{"$nulls":3},"Angle b Degrees =",null,null,53.13010235415598]
[null,null,"Spreadsheet formula for above =DEGREES(ATAN(A/B))",{"$nulls":6},"Spreadsheet formula for above = DEGREES(ATAN(B/A))"]
[{"$nulls":3},"The rounding mechanism, presented below, is NOT for the above calculations."]
[null,null,"All of the FOLLOWING calculated results are rounded to",{"$nulls":8},7,"decimal places.  You can "]
[null,null,"change this, by deleting the above number (in blue type), and entering the number of decimal "]
[null,null," places you prefer.  If you enter a number that is excessively large you might get rounding errors.  "]
[null,null,"Section 2) Trigonometric Functions for Angle a, based on the triangle presented above "]
[null,null,"Sin(a) = ",null,"A","=",3,null,null,"=",0.6]
[{"$nulls":4},"H",null,5]
[null,null,"Spreadsheet formula for the above calculation is  =ROUND( (A/H), L25)"]
[null,null,"Cos(a) = ",null,"B","=",4,null,null,"=",0.8]
[{"$nulls":4},"H",null,5]
[null,null,"Spreadsheet formula for the above calculation is =ROUND( (B/H), L25 ) "]
[null,null,"Tan(a) = ",null,"A","=",3,null,null,"=",0.75]
[{"$nulls":4},"B",null,4]
[null,null,"Spreadsheet formula for the above calculation is =ROUND( (A/B), L25)  "]
[null,null,"Cot(a) = ",null,"B","=",4,null,null,"=",1.3333333]
[{"$nulls":4},"A",null,3]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((B/A),L25) "]
[null,null,"Sec(a) = ",null,"H","=",5,null,null,"=",1.25]
[{"$nulls":4},"B",null,4]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((H/B), L25) "]
[null,null,"Csc(a) = ",null,"H","=",5,null,null,"=",1.6666667]
[{"$nulls":4},"A",null,3]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((H/A), L25) "]
[null,null,"Section 3) Trigonometric Functions for Angle b, based on the right triangle in section 1 "]
[null,null,"Sin(b) = ",null,"B","=",4,null,null,"=",0.8]
[{"$nulls":4},"H",null,5]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((B/H), L25 )  "]
[null,null,"Cos(b) = ",null,"A","=",3,null,null,"=",0.6]
[{"$nulls":4},"H",null,5]
[null,null,"Spreadsheet formula for the above calculation is =ROUND( (A/H), L25 )  "]
[null,null,"Tan(b) = ",null,"B","=",4,null,null,"=",1.3333333]
[{"$nulls":4},"A",null,3]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((B/A), L25)"]
[null,null,"Cot(b) = ",null,"A","=",3,null,null,"=",0.75]
[{"$nulls":4},"B",null,4]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((A/B),L25)  "]
[null,null,"Sec(b) = ",null,"H","=",5,null,null,"=",1.6666667]
[{"$nulls":4},"A",null,3]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((H/A),L25)   "]
[null,null,"Csc(b) = ",null,"H","=",5,null,null,"=",1.25]
[{"$nulls":4},"B",null,4]
[null,null,"Spreadsheet formula for the above calculation is =ROUND((H/B),L25)  "]
[null,null,"Section 4)  Trigonometric Identities for Angle a, based on the right triangle in section 1  "]
[null,null,"Sin(a)2+Cos(a)2 =",null,null,1,{"$nulls":3},"Sin(a)2+Cos(a)2=",{"$nulls":3},1]
[null,null,"Spreadsheet formulas: For above right =ROUND((A/H)^2+(B/H)^2, L25)  For above =ROUND( (SIN(a.))^2+(COS(a.))^2, L25 )"]
[null,null,"Sin(a)2=",null,0.36,{"$nulls":3},"Cos(a)2=",null,0.6400000000000001,{"$nulls":3},"=",1]
[null,null,"Spreadsheet formulas: Sin(a)2 for =(A/H)^2   Cos(a)2 for =(A/H)^2  For the sun: =ROUND(E69+K69, L25)"]
[null,null,"Sin(a) = ",null,"Tan(a)","=",0.6,{"$nulls":3},"SIN(A)=",null,0.6]
[{"$nulls":4},"Sec(a)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((A/B)/(H/B),L25) For above =ROUND(SIN(a.), L25)"]
[null,null,"COS(a) = ",null,"Cot(a)","=",0.8,{"$nulls":3},"Cos(a)=",null,0.8]
[{"$nulls":4},"CSC(a)"]
[null,null,"Spreadsheet formulas: For above right=ROUND((B/A)/(H/A),L25) For above=ROUND(COS(a.),L25)"]
[null,null,"Tan(a) = ",null,"Sin(a)","=",0.75,{"$nulls":3},"Tan(a)=",null,0.75]
[{"$nulls":4},"Cos(a)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((A/H)/(B/H),L25) For above =ROUND(TAN(a.), L25)  "]
[null,null,"Cot(a) = ",null,"Cos(a)","=",1.3333333,{"$nulls":3},"Cot(a)=",null,1.3333333]
[{"$nulls":4},"Sin(a)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((B/H)/(A/H), L25)  For above =ROUND(1/TAN(a.), L25)"]
[null,null,"Sec(a) = ",null,"Tan(a)","=",1.25,{"$nulls":3},"Sec(a)=",null,1.25]
[{"$nulls":4},"Sin(a)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((A/B)/(A/H), L25)  For above =ROUND(1/COS(a.), L25)"]
[null,null,"CSC(a) = ",null,"Cot(a)","=",1.6666667,{"$nulls":3},"Csc(a)  =",null,1.6666667]
[{"$nulls":4},"Cos(a)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((B/A)/(B/H), L25) For above =ROUND(1/SIN(a.), L25)"]
[null,null,"Section 5) Trigonometric Identities for Angle b, based on the right triangle in section 1 "]
[null,null,"Sin(b)2+Cos(b)2 =",null,null,1,{"$nulls":3},"Sin(b)2+Cos(b)2=",{"$nulls":3},1]
[null,null,"Spreadsheet formulas: For above right =ROUND((B/H)^2+(A/H)^2, L25)  For above =ROUND( (SIN(b.))^2+(COS(b.))^2, L25 )"]
[null,null,"Sin(b)2=",null,0.6400000000000001,{"$nulls":3},"Cos(b)2=",null,0.36,{"$nulls":3},"=",1]
[null,null,"Spreadsheet formulas: Sin(b)2 for =(B/H)^2   Cos(b)2 for =(A/H)^2  For the sun: =ROUND(E92+K92, L25)"]
[null,null,"Sin(b) = ",null,"Tan(b)","=",0.8,{"$nulls":3},"SIN(b)=",null,0.8]
[{"$nulls":4},"Sec(b)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((B/A)/(H/A), L25) For above =ROUND(SIN(b.), L25)"]
[null,null,"COS(b) = ",null,"Cot(b)","=",0.6,{"$nulls":3},"Cos(b)=",null,0.6]
[{"$nulls":4},"CSC(b)"]
[null,null,"Spreadsheet formulas: For above right=ROUND((B/A)/(H/A),L25) For above =ROUND(COS(b.), L25)"]
[null,null,"Tan(b) = ",null,"Sin(b)","=",1.3333333,{"$nulls":3},"Tan(b)=",null,1.3333333]
[{"$nulls":4},"Cos(b)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((B/H)/(A/H), L25)    For above =ROUND(TAN(b.), L25)  "]
[null,null,"Cot(b) = ",null,"Cos(b)","=",0.75,{"$nulls":3},"Cot(a)=",null,0.75]
[{"$nulls":4},"Sin(b)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((A/H)/(B/H), L25) For above =ROUND(1/TAN(b.), L25)"]
[null,null,"Sec(b) = ",null,"Tan(b)","=",1.6666667,{"$nulls":3},"Sec(b)=",null,1.6666667]
[{"$nulls":4},"Sin(b)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((B/A)/(B/H), L25)  For above =ROUND(1/COS(b.), L25)"]
[null,null,"CSC(b) = ",null,"Cot(b)","=",1.25,{"$nulls":3},"Csc(a)  =",null,1.25]
[{"$nulls":4},"Cos(b)"]
[null,null,"Spreadsheet formulas: For above right =ROUND((A/B)/(A/H), L25) For above =ROUND(1/SIN(b.), L25)"]
[null,null,"The PolyTrig Calculator Created By David@TechForText.com, ©2010 To contact the author use the email address"]

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[{"$nulls":6},"a     ",{"$nulls":4},"a     "]
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[null,"b"]
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[null,"90o         a     "]
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[{"$nulls":4},"Hypotenuse"]