Select the type of curve formed by the parametric equations $x=2-\frac{4}{\cos 5 t}$ and $y=2-6 \sin 5 t$.
A) Circle
B) Parabola
C) Elipse
D) Hyperbola

Question

Quizplus · Accepted Answer

The given parametric equations represent a limaçon, which is a type of polar curve. However, when considering the form of the equations, they can be related to a hyperbola due to the presence of trigonometric functions with different coefficients and the subtraction in the x-equation.

Select the Type of Curve Formed by the Parametric Equations x=2−4cos⁡5tx=2-\frac{4}{\cos 5 t}x=2−cos5t4​

Select the Type of Curve Formed by the Parametric Equations $x=2-\frac{4}{\cos 5 t}$