Wifi driver failed - Broadcom (14e4:43ba)

> I am trouble installing wifi
> driver(broadcom BCM43602 -14e4:43ba) on my laptop.

That WiFi card doesn't work without proprietary software. Trisquel only
includes free software.[1]

> According to the
> https://wireless.wiki.kernel.org/en/users/drivers/brcm80211, Driver is
> supported in 3.17+ kernel version.

This refers to the mainline kernel, which includes proprietary software.
Trisquel uses Linux-libre,[2] which contains only free software.

> I did try different Linux operating
> system which took wifi driver automatically

Then the other distro you tried includes non-free software.

I recommend looking into an external WiFi[3] card that does not require
proprietary software.

[1] https://www.gnu.org/philosophy/free-sw.html
[2] https://www.fsfla.org/ikiwiki/selibre/linux-libre/
[3] https://www.thinkpenguin.com/gnu-linux/penguin-wireless-n-usb-adapter-gnu-linux-tpe-n150usb

It *might* work with openfwwf. Try installing that and restart. If not then yes, replacing the WiFi card with one that doesn't need proprietary junk would be a good idea. Or, if you don't want to open the computer, there are USB ones too. Like https://www.thinkpenguin.com/gnu-linux/penguin-wireless-n-usb-adapter-gnu-linux-tpe-n150usb