# (abs(sin(x))^2).simplify_full()

I think (abs(sin(x))^2).simplify_full() should render sin(x)^2. This is not the case in sage 5.6 even with the assumption assume(x, 'real'). Is this a [known] bug?

(abs(sin(x))^2).simplify_full()

0

I think that Maxima (which handles simplification and assumptions) is correct insofar that

```
sage: assume(x,"real")
sage: (abs(sin(x))^2).simplify_full()
abs(sin(x))^2
sage: (abs(x)^2).simplify_full()
x^2
```

because it can't assume `sin(x)`

to be real. But trying that gives an error,
so, even if Maxima doesn't know by itself that `sin(x)`

is real, there should
be a means to specify it.

Asked: **
2013-01-29 03:07:09 -0500
**

Seen: **167 times**

Last updated: **Jan 26 '15**

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Here, using Ubuntu 12.04, it consistently yields abs(sin(x))^2. Please note that the similar input abs(sin(x)^2).simplify_full() produces the right answer. Version 5.5 does not have this problem.