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This question is perhaps trivial but annoying. I don't expect a quick answer.

sage: th = var('th') sage: th.simplif th.simplify th.simplify_factorial th.simplify_log th.simplify_rational th.simplify_exp th.simplify_full th.simplify_radical th.simplify_trig

sage: e^(Ith).simplify_trig() e^(Ith) sage: e^(Ith).simplify_exp() e^(Ith) sage: e^(Ith).simplify_full() e^(Ith) sage: th.simplif th.simplify th.simplify_factorial th.simplify_log th.simplify_rational th.simplify_exp th.simplify_full th.simplify_radical th.simplify_trig

sage: f = cos(th) + Isin(th) sage: f.simp f.simplify f.simplify_factorial f.simplify_log f.simplify_rational f.simplify_exp f.simplify_full f.simplify_radical f.simplify_trig sage: f.simplify_trig() Isin(th) + cos(th) sage: f.simplify_exp() Isin(th) + cos(th) sage: f.simplify_full() Isin(th) + cos(th)

That is all I have tried.

Thanks for your patience in advance!

This question is perhaps trivial but annoying. I don't expect a quick answer.

The following are all I have tried.

sage: th = var('th') sage: th.simplif var('th')

sage: th.simplif

th.simplify th.simplify_factorial th.simplify_log th.simplify_rational th.simplify_exp th.simplify_full th.simplify_radical th.simplify_trig

sage: e^(Ith).simplify_trig() e^(Ith) sage: e^(Ith).simplify_exp() e^(Ith) sage: e^(Ith).simplify_full() e^(Ith) sage: th.simplif e^(I*th).simplify_trig()

e^(I*th)

sage: e^(I*th).simplify_exp()

e^(I*th)

sage: e^(I*th).simplify_full()

e^(I*th)

sage: th.simplif

th.simplify th.simplify_factorial th.simplify_log th.simplify_rational th.simplify_exp th.simplify_full th.simplify_radical th.simplify_trig

sage: f = cos(th) + Isin(th) sage: f.simp I*sin(th)

f.simplify f.simplify_factorial f.simplify_log f.simplify_rational f.simplify_exp f.simplify_full f.simplify_radical f.simplify_trig sage: f.simplify_trig() Isin(th) + cos(th) sage: f.simplify_exp() Isin(th) + cos(th) sage: f.simplify_full() Isin(th) f.simplify_trig

sage: f.simplify_trig()

I*sin(th) + cos(th)

Thanks for your patience in advance!

This question is perhaps trivial but annoying. I don't expect a quick answer.

The following are all I have tried.

sage: th = var('th')
 
sage: th.simplif
 
var('th')

sage: th.simplif

th.simplify            th.simplify_factorial  th.simplify_log        th.simplify_rational
th.simplify_exp        th.simplify_full       th.simplify_radical    th.simplify_trig
 
 
sage: e^(I*th).simplify_trig()
 
e^(I*th)
 
sage: e^(I*th).simplify_exp()
 
e^(I*th)
 
sage: e^(I*th).simplify_full()
 
e^(I*th)
 
sage: th.simplif
 
th.simplify_trig


----------


sage: e^(I*th).simplify_trig()

e^(I*th)

sage: e^(I*th).simplify_exp()

e^(I*th)

sage: e^(I*th).simplify_full()

e^(I*th)

sage: th.simplif

th.simplify            th.simplify_factorial  th.simplify_log        th.simplify_rational
th.simplify_exp        th.simplify_full       th.simplify_radical    th.simplify_trig
 
 
th.simplify_trig


----------


sage: f = cos(th) + I*sin(th)
 
sage: f.simp
 
I*sin(th)

sage: f.simp

f.simplify            f.simplify_factorial  f.simplify_log        f.simplify_rational
f.simplify_exp        f.simplify_full       f.simplify_radical    f.simplify_trig
 
sage: f.simplify_trig()
 
f.simplify_trig

sage: f.simplify_trig()

I*sin(th) + cos(th)
 
sage: f.simplify_exp()
 
cos(th)

sage: f.simplify_exp()

I*sin(th) + cos(th)
 
sage: f.simplify_full()
 
cos(th)

sage: f.simplify_full()

I*sin(th) + cos(th)cos(th)

This question is perhaps trivial but annoying. I don't expect a quick answer.

The following are all I have tried.

sage: th = var('th')

----------


sage: th.simplif
e^(I*th).simplify_trig()     th.simplify e^(I*th)    
sage: e^(I*th).simplify_exp()    
e^(I*th)    
sage: e^(I*th).simplify_full()   
e^(I*th)      th.simplify_factorial  th.simplify_log        th.simplify_rational
th.simplify_exp        th.simplify_full       th.simplify_radical    th.simplify_trig


----------


sage: e^(I*th).simplify_trig()

e^(I*th)

sage: e^(I*th).simplify_exp()

e^(I*th)

sage: e^(I*th).simplify_full()

e^(I*th)

sage: th.simplif

th.simplify            th.simplify_factorial  th.simplify_log        th.simplify_rational
th.simplify_exp        th.simplify_full       th.simplify_radical    th.simplify_trig


----------


sage: f = cos(th) + I*sin(th)

sage: f.simp

f.simplify I*sin(th)  
sage: f.simplify_trig()  
I*sin(th) + cos(th)    f.simplify_factorial  f.simplify_log 
sage: f.simplify_exp()  
I*sin(th) + cos(th)   f.simplify_rational
f.simplify_exp 
sage: f.simplify_full()      f.simplify_full       f.simplify_radical    f.simplify_trig

sage: f.simplify_trig()

I*sin(th) + cos(th)

sage: f.simplify_exp()

I*sin(th) + cos(th)

sage: f.simplify_full()

I*sin(th) + cos(th)

Thanks for your patience in advance!