| |
Description of: The PolyTrig Calculator,
Created By David@TechForText.com, ©2010 |
|
| |
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. |
|
| |
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.) |
|
| |
2) Enter the height of your right triangle in
Input box A, and the length of the base in Input box B. |
|
| |
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.) |
|
| |
This is Input Box
A, which is for the height |
This is Input Box
B, which is for the length |
|
| |
of the triangle. (Altitude or
Opposite side) |
of the base of the triangle. (Adjacent
Side) |
|
| |
A= |
|
B = |
|
|
| |
Section 1) Calculations without
the Trigonometric Functions |
|
|
A=The height of the triangle = |
|
|
| |
|
|
Area of Triangle = |
|
|
| |
This is the height triangle. It is
also the altitude or opposite side of the triangle. |
 |
|
Spreadsheet formula for the above =A*B/2 |
|
| |
|
H = Hypotenuse = |
|
|
| |
|
|
Spreadsheet formula for above
=((A^2)+(B^2))^(0.5) |
|
| |
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 |
|
|
|
|
| |
|
Perimeter = |
|
|
| |
|
|
Spreadsheet formula for the above = A+B+H |
|
| |
|
|
|
|
| |
|
|
|
|
B = Base (Adjacent
Side) = |
|
|
| |
Angle a, radians = |
|
Angleb Radians = |
|
|
| |
Spreadsheet formula for the above =ATAN(A/B) |
Spreadsheet formula for the above =ATAN(A/B) |
|
|
Angle a Degrees = |
|
Angle b Degrees = |
|
|
| |
Spreadsheet formula for above
=DEGREES(ATAN(A/B)) |
Spreadsheet formula for above =
DEGREES(ATAN(B/A)) |
|
| |
|
The rounding mechanism, presented below, is NOT
for the above calculations. |
|
|
| |
All of the FOLLOWING calculated results are
rounded to |
|
decimal places. You can
|
|
| |
change this, by deleting the above number (in
blue type), and entering the number of decimal |
|
| |
places you prefer. If
you enter a number that is excessively large you might get rounding
errors. |
|
| |
Section 2) Trigonometric Functions for Angle a,
based on the triangle presented above |
|
| |
Sin(a) = |
A |
= |
|
= |
|
|
| |
H |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND( (A/H), L25) |
|
| |
Cos(a) = |
B |
= |
|
= |
|
|
| |
H |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND( (B/H), L25 ) |
|
| |
Tan(a) = |
A |
= |
|
= |
|
|
| |
B |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND( (A/B), L25) |
|
| |
Cot(a) = |
B |
= |
|
= |
|
|
| |
A |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((B/A),L25) |
|
| |
Sec(a) = |
H |
= |
|
= |
|
|
| |
B |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((H/B), L25) |
|
| |
Csc(a) = |
H |
= |
|
= |
|
|
| |
A |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((H/A), L25) |
|
| |
Section 3) Trigonometric Functions for Angle b,
based on the right triangle in section 1 |
|
| |
Sin(b) = |
B |
= |
|
= |
|
|
| |
H |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((B/H), L25 ) |
|
| |
Cos(b) = |
A |
= |
|
= |
|
|
| |
H |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND( (A/H), L25 ) |
|
| |
Tan(b) = |
B |
= |
|
= |
|
|
| |
A |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((B/A), L25) |
|
| |
Cot(b) = |
A |
= |
|
= |
|
|
| |
B |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((A/B),L25) |
|
| |
Sec(b) = |
H |
= |
|
= |
|
|
| |
A |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((H/A),L25) |
|
| |
Csc(b) = |
H |
= |
|
= |
|
|
| |
B |
|
|
| |
Spreadsheet formula for the above calculation
is =ROUND((H/B),L25) |
|
| |
Section 4) Trigonometric
Identities for Angle a, based on the right triangle in section 1
|
|
| |
Sin(a)2+Cos(a)2 = |
|
Sin(a)2+Cos(a)2= |
|
|
| |
Spreadsheet formulas: For above right
=ROUND((A/H)^2+(B/H)^2, L25) For above =ROUND(
(SIN(a.))^2+(COS(a.))^2, L25 ) |
|
| |
Sin(a)2= |
|
Cos(a)2= |
|
= |
|
|
| |
Spreadsheet formulas: Sin(a)2 for =(A/H)^2
Cos(a)2 for =(A/H)^2 For the sun: =ROUND(E69+K69,
L25) |
|
| |
Sin(a) = |
Tan(a) |
= |
|
SIN(A)= |
|
|
| |
Sec(a) |
|
| |
Spreadsheet formulas: For above right
=ROUND((A/B)/(H/B),L25) For above =ROUND(SIN(a.), L25) |
|
| |
COS(a) = |
Cot(a) |
= |
|
Cos(a)= |
|
|
| |
CSC(a) |
|
| |
Spreadsheet formulas: For above
right=ROUND((B/A)/(H/A),L25) For above=ROUND(COS(a.),L25) |
|
| |
Tan(a) = |
Sin(a) |
= |
|
Tan(a)= |
|
|
| |
Cos(a) |
|
| |
Spreadsheet formulas: For above right
=ROUND((A/H)/(B/H),L25) For above =ROUND(TAN(a.), L25) |
|
| |
Cot(a) = |
Cos(a) |
= |
|
Cot(a)= |
|
|
| |
Sin(a) |
|
| |
Spreadsheet formulas: For above right
=ROUND((B/H)/(A/H), L25) For above =ROUND(1/TAN(a.), L25) |
|
| |
Sec(a) = |
Tan(a) |
= |
|
Sec(a)= |
|
|
| |
Sin(a) |
|
| |
Spreadsheet formulas: For above right
=ROUND((A/B)/(A/H), L25) For above =ROUND(1/COS(a.), L25) |
|
| |
CSC(a) = |
Cot(a) |
= |
|
Csc(a) = |
|
|
| |
Cos(a) |
|
| |
Spreadsheet formulas: For above right
=ROUND((B/A)/(B/H), L25) For above =ROUND(1/SIN(a.), L25) |
|
| |
Section 5) Trigonometric Identities for Angle
b, based on the right triangle in section 1 |
|
| |
Sin(b)2+Cos(b)2 = |
|
Sin(b)2+Cos(b)2= |
|
|
| |
Spreadsheet formulas: For above right
=ROUND((B/H)^2+(A/H)^2, L25) For above =ROUND(
(SIN(b.))^2+(COS(b.))^2, L25 ) |
|
| |
Sin(b)2= |
|
Cos(b)2= |
|
= |
|
|
| |
Spreadsheet formulas: Sin(b)2 for =(B/H)^2
Cos(b)2 for =(A/H)^2 For the sun: =ROUND(E92+K92,
L25) |
|
| |
Sin(b) = |
Tan(b) |
= |
|
SIN(b)= |
|
|
| |
Sec(b) |
|
| |
Spreadsheet formulas: For above right
=ROUND((B/A)/(H/A), L25) For above =ROUND(SIN(b.), L25) |
|
| |
COS(b) = |
Cot(b) |
= |
|
Cos(b)= |
|
|
| |
CSC(b) |
|
| |
Spreadsheet formulas: For above
right=ROUND((B/A)/(H/A),L25) For above =ROUND(COS(b.), L25) |
|
| |
Tan(b) = |
Sin(b) |
= |
|
Tan(b)= |
|
|
| |
Cos(b) |
|
| |
Spreadsheet formulas: For above right
=ROUND((B/H)/(A/H), L25) For above =ROUND(TAN(b.), L25)
|
|
| |
Cot(b) = |
Cos(b) |
= |
|
Cot(a)= |
|
|
| |
Sin(b) |
|
| |
Spreadsheet formulas: For above right
=ROUND((A/H)/(B/H), L25) For above =ROUND(1/TAN(b.), L25) |
|
| |
Sec(b) = |
Tan(b) |
= |
|
Sec(b)= |
|
|
| |
Sin(b) |
|
| |
Spreadsheet formulas: For above right
=ROUND((B/A)/(B/H), L25) For above =ROUND(1/COS(b.), L25) |
|
| |
CSC(b) = |
Cot(b) |
= |
|
Csc(a) = |
|
|
| |
Cos(b) |
|
| |
Spreadsheet formulas: For above right
=ROUND((A/B)/(A/H), L25) For above =ROUND(1/SIN(b.), L25) |
|
| |
The PolyTrig Calculator Created By
David@TechForText.com, ©2010 To contact the author use the email address
|
|