Tagged Questions
0
votes
0answers
51 views
Torus equation in terms of tangent
So if I have an equation for a torus in $F(a,b) = (X, Y, Z)$ where $X = (R + r\cos a)\cos b$ and $0 < r < R$, how would I go about rewriting this equation for $X$ in terms of $\tan(a/2)$ and ...
0
votes
1answer
227 views
Get Angle to Tangent that Intersects Point
I have a circle around a given point, call this point $(x_1, y_1)$. I know the radius of the circle around this point. I also have a second point $(x_2, y_2)$, that is a distance away, outside the ...
2
votes
2answers
112 views
Did I write the right “expressions”?
$9$. Consider the parametric curve $K\subset R^3$ given by
$$x = (2 + \cos(2s)) \cos(3s)$$
$$y = (2 + \cos(2s)) \sin(3s)$$
$$z = \sin(2s)$$
a) Express the equations of K as polynomial ...
0
votes
2answers
119 views
Move an object along a straight path on an angle
I have an object at $x,y$ and I want it to move along a straight line on an angle of roughly $65^\circ$ and I know what the different of $X$ is but I do not know what the $Y$ should be.
So for ...
49
votes
1answer
2k views
Trigonometric sums related to the Verlinde formula
Original question (see also the revised, possibly simpler, version below): Let $g > 1, r > 1$ be integers. Playing around with the Verlinde formula (see below), I came across the expression
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