Answer:
The relation is explained below.
Step-by-step explanation:
P(x, y) is a point on the circle. Q is the origin. Join PQ.
PQ is the radius.
Therefore, PQ = r
Draw PS perpendicular to the x-axis.
Now, ΔPQS is a right triangle.
By Pythagoros theorem,
Answer:
Step-by-step explanation:
A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).
The parametrization for the helix is
where is the radius of the helix,
is the constant, and
is the parameter
