# Solving complex equation

I was trying to solve the following equation over the complex numbers: `sin(z) + cos(z) = 2`

In Sage:

```
sage: z = var('z')
sage: solve(sin(z) + cos(z) == 2, z)
[sin(z) == -cos(z) + 2]
```

Obviously, that's not what I want. Wolfram|Alpha yields the two solutions in multiple forms: http://www.wolframalpha.com/input/?i=cos%28z%29+%2B+sin%28z%29+%3D%3D+2

Can this be done in Sage?