COSINE

Status
Not open for further replies.

Hv&Lv

Senior Member
Location
-
Occupation
Engineer/Technician
Radians vs degrees
your example has cos(49 degrees)
your spreadsheet uses radians
 
Last edited:
Location
NE (9.06 miles @5.9 Degrees from Winged Horses)
Occupation
EC - retired
I bought a Bosch laser GLM 50C a year or so ago. Put it away so I wouldn't lose it. Needed it for the last two months, found it yesterday, now that I don't. Downloaded the app for it and started playing. HS Batman!

Nicest thing so far is its ability to send each measurement along with the angle of it to your phone.
 

Carultch

Senior Member
Location
Massachusetts
Excel defaults to using radians as the units for the trig functions, as does Google Calculator. Most of the time, if you don't have a configuration setting that enables you to select this, your calculator will default to using radians. The preferred angle unit in mathematics, because of its elegant calculus.

I like how Google Calculator will enable you to type cos(49 degrees) to get your result. Or the reverse, "arccos(0.4) in degrees". You can even type in other angle units, as long as you specify them, and it will interpret it correctly. All you need to know, is to specify the units in the syntax.

With Excel, you need to know something about radians in the first place to even know how to get any trig function to take in degrees as the input. You would need to type in cos(radians(49)) to get the cosine of 49 degrees, and degrees(acos(0.4)) for the reverse. Either that, or you'd multiply your input by pi()/180 for trig, and your output by 180/pi() for inverse trig.

If it were my choice for how to improve Excel's syntax, I would recommended an optional second parameter to these functions, that takes in a string input to specify the angle unit. It would still default to radians, but would enable you to override this default with the syntax of cos(49, "deg").
 

Hv&Lv

Senior Member
Location
-
Occupation
Engineer/Technician
Excel defaults to using radians as the units for the trig functions, as does Google Calculator. Most of the time, if you don't have a configuration setting that enables you to select this, your calculator will default to using radians. The preferred angle unit in mathematics, because of its elegant calculus.

I like how Google Calculator will enable you to type cos(49 degrees) to get your result. Or the reverse, "arccos(0.4) in degrees". You can even type in other angle units, as long as you specify them, and it will interpret it correctly. All you need to know, is to specify the units in the syntax.

With Excel, you need to know something about radians in the first place to even know how to get any trig function to take in degrees as the input. You would need to type in cos(radians(49)) to get the cosine of 49 degrees, and degrees(acos(0.4)) for the reverse. Either that, or you'd multiply your input by pi()/180 for trig, and your output by 180/pi() for inverse trig.

If it were my choice for how to improve Excel's syntax, I would recommended an optional second parameter to these functions, that takes in a string input to specify the angle unit. It would still default to radians, but would enable you to override this default with the syntax of cos(49, "deg").
When I make a spreadsheet I generally like degrees because it seems like the people I send them to like to use degrees.
On this spreadsheet l lock the cell with the formula =(49)*180/PI() and type “Degrees” either above that cell or beside it to avoid confusion.
I have used the DEGREES(49) function some also.

Some understand 45 degrees better than .785 rads
 

Carultch

Senior Member
Location
Massachusetts
When I make a spreadsheet I generally like degrees because it seems like the people I send them to like to use degrees.
On this spreadsheet l lock the cell with the formula =(49)*180/PI() and type “Degrees” either above that cell or beside it to avoid confusion.
I have used the DEGREES(49) function some also.

Some understand 45 degrees better than .785 rads

DEGREES(49) does the reverse of what the OP is intending. As does (49)*180/PI(). These both translate 49 radians to degrees.

I'm well aware that most people probably understand degrees more than radians. Even having worked with plenty of applications where radians have the advantage, I still think in degrees.
 

Besoeker3

Senior Member
Location
UK
Occupation
Retired Electrical Engineer
I usually express radians when using power factor calcs. This is a section of a whole project :

Power factor
ISK pf(pu)
0,740​
0,740​
0,740​
0,740​
0,740​
0,740​
0,740​
0,740​
0,740​
ISK kW(kW)
336​
321​
299​
270​
234​
189​
135​
72​
0​
ISK kVAr(kVAr)
305​
292​
272​
245​
212​
171​
123​
66​
0​
Motor pf(pu)
0,646​
0,699​
0,744​
0,781​
0,810​
0,834​
0,852​
0,865​
0,875​
Motor kW(kW)
1371​
1487​
1610​
1737​
1871​
2011​
2157​
2310​
2469​
Motor kVAr(kVAr)
1620​
1521​
1445​
1390​
1353​
1333​
1328​
1339​
1366​
PFC(kVAr)
1400​
1400​
1400​
1400​
1400​
1400​
1400​
1400​
1400​
Total Supply kW(kW)
1035​
1166​
1310​
1467​
1638​
1822​
2022​
2237​
2469​
Total kVAr(kVAr)
526​
412​
317​
236​
165​
104​
51​
5​
-34​
Total Supply kVA(kVA)
1179​
1254​
1364​
1500​
1658​
1835​
2030​
2241​
2469​
Overall fund p.f(pu)
0,878​
0,930​
0,960​
0,978​
0,987​
0,993​
0,996​
0,998​
1,000​
 
Status
Not open for further replies.
Top