Numbers as multiply of pi?

Hi, does anyone know how to tell Matlab it should show a number as a multiply of pi?

Example: atan(sqrt(3)/1) = 1.0472 but I want to see it as pi/3

Thx for the help guys.

Answer 1

[Stephen23]

atan(sqrt(sym(3))/1)

ans = 

[Fabian Glutz]

Thank you very much @Stephen Cobeldick.

Can i ask you why you put sym into sqrt, any special reason for that?

Can I also write it like this? (In any case)

sym(atan(sqrt(3)/1))

ans =

pi/3

[Steven Lord]

The order in which you call sym and other operations doesn't always matter, but it can.

Do you want to perform the calculations numerically then convert the result to a symbolic answer? Or do you want to perform the calculations symbolically from the beginning?

x = sym(2)^2000

x = 

114813069527425452423283320117768198402231770208869520047764273682576626139237031385665948631650626991844596463898746277344711896086305533142593135616665318539129989145312280000688779148240044871428926990063486244781615463646388363947317026040466353970904996558162398808944629605623311649536164221970332681344168908984458505602379484807914058900934776500429002716706625830522008132236281291761267883317206598995396418127021779858404042159853183251540889433902091920554957783589672039160081957216630582755380425583726015528348786419432054508915275783882625175435528800822842770817965453762184851149029376

y = sym(2^2000)

y = 

∞

Calculating y computed 2^2000 in double precision first (which overflows to Inf) and then converts that infinity into a symbolic result. Calculating x "computes" 2 in double precision (which doesn't overflow), converts that 2 to a symbolic result that I'll call two, then computes two^2000 symbolically. Symbolic Math Toolbox can handle that large number.

If you have something where doing the work in double precision will lose desired precision, overflow, or underflow you probably want to go symbolic first. On the other hand, performing calculations symbolically has a bit more overhead.

[Walter Roberson]

sym(atan(sqrt(3)/1))

ans = 

That happened to work. The symbolic toolbox can deal with pi divided by 1 to 9999 if I recall correctly

sym(pi/5987)

ans = 

But beyond some simple ratios, it loses track

sym((pi-1)/3)

ans = 

(sym(pi)-1)/3

ans =