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How useful is math (algebra, geometry, trigonometry) for 2d game development?

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What would be the application of math (algebra, geometry, trigonometry?) to 2d game development?

I want to make a 2d RPG using monogame, a XNA framework.

I know math is necessary for 3d game development, but i am not sure how much math i would need to do a 2d game in a framework (not a game engine) and what benefits would it offer to manually do code stuff using math and a framework over using an engine. 

Many game engines promote themselves as allowing the user to skip all the math parts and focus on the development aspect …


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