MHB Calculate third point from 2 points and an angle

[GamerVSL]

I'm having a hard time putting together a formula. I have 2 points (x0, y0) and (x1, y1) and an angle (k).
Using this information I need to calculate a third point that is k degrees from the previous 2 points.
View attachment 7880
Is it possible to do that? Thank you for your attention.

 

[johng1]

From your diagram, it looks as though the point C is found by rotating (x1,y1) about (x0,y0) by an angle of x degrees. Is this what you want? If so, there are standard ways of doing this problem. If you need further help on this, post again.

 

[GamerVSL]

I found a method:

Cx=cos(θ)⋅(X1−X0)−sin(θ)⋅(Y1−Y0)+X0
Cy=sin(θ)⋅(X1−X0)+cos(θ)⋅(Y1−Y0)+Y1

Is it right?

 

[johng1]

Yes, this rotates (x1,y1) about (x0,y0) through an angle of $\theta$.