We are asked to solve for the angle of rotational symmetry of a given regular polygon and the formula is degrees of rotation = 360° / number of sides. In this problem, the solution is shown below: We used n = 5 since pentagon has five number of sides degrees of rotation = 360° / 5 degrees of rotation = 72°
The standard conversion toolbox: x=rcos(θ) y=rsin(θ)
Here r=7csc(θ) so x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(<span>θ) y=7csc(</span>θ)*sin(θ)=7sin(θ)/sin(<span>θ) = 7 therefore the rectangular coordinates are (7cot(</span><span>θ), 7)</span>
