You're connecting with HDMI I assume, looking at the specs of the TV, that's the only digital input options.
Unfortunately HDMI 1.4 does NOT support 4K @ 60hz. Older Nvidia cards were able to drop the color sampling to reduce bandwidth and achieve 60hz that way. Nvidia's second generation Maxwell cards have HDMI 2.0 which can manage 4K@60, but only if the TV supports it (a glance at the specs of your TV just says "HDMI", so you'd have to do some more digging to see what HDMI version it is).
I'm not aware of any workaround on AMD cards which achieves 4K@60 over HDMI. AMD seem big fans of displayport, which (since DP version 1.2, been around for a while) has supported 4K@60... but no HDMI options that I'm aware of.
Probably not the...