How to play Minecraft on PS3 without an HDMI cable?

How to play Minecraft on PS3 without an HDMI cable? - 1
Added (1). So me and my cousin want to play minecraft on the ps3 in split screen 2 player mode offline but we can't get it to work. When we try to press the start button on the controller to enter the mode as suggested it won't bring up the two player option. We've tried many things we found online in order to get it to work but none of them worked in our case.
Added (2). Than when she goes to login on minecraft through her account on my ps3 it won't let her login saying that she can't use another user's account. Everytime she goes to do that it brings up an email neither of us even heard of. Please help.

Sorry had to split the details in two updates.

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