How to move a point by specified distance and angle?

Question

Game development

It is necessary to move a point on a plane by some distance at a specified angle. Point A (1; 1) at an angle of 45 goes to point B, the distance between A and B is 1 . What is the formula for finding B?

Answer 1

That's
where x1,y1 - coordinates of point A
a - angle in degrees
d - distance
where B = (x1+d cos a, y1+d sin a)

Answer 2

Distance and angle (r, fi) define the displacement vector. Find its coordinates t =(xt, yt) in Cartesian s. k. according to the conversion formula from polar coordinates. And then B = A + t;

Answer 3

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