Remap hotkey without losing native hotkey functionality

Question

I want the keyboard shortcut ctrl+tab to perform two functions:

1. ctrl+tab (its normal function, e.g., to switch tabs in a web browser)
2. ctrl+F6 (which can be used to switch between Microsoft Word documents, for example)

It doesn't need to be context-sensitive, i.e., it's okay to send both commands regardless of what program(s) I am using. The closest I have come is the following:

~^Tab::^F6

which performs both of the desired functions, but a "Tab" keystroke is also sent along with the hotkey. (This would wreak havoc on my Word documents!) I need to preserve the native ctrl+tab functionality without sending a Tab keystroke. Could someone please help?

Answer 1

Then just send both commands:

$^Tab::
    Send, ^{F6}
    sleep,50
    Send, ^{Tab}
return

Just note that some programs might not like that.