Find a Rectangular Equation for the Plane Curve Defined by the Parametric

question 17

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $\mathrm { x } = 5 \tan \mathrm { t } , \mathrm { y } = 4 \cot \mathrm { t }$

• A) \(y = \frac { 20 } { x }\)
• B) \(y = \frac { x } { 20 }\)
• C) \(y = \frac { 4 } { 5 } \sin x\)
• D) \(y = \frac { 5 } { 4 } \cos x\)

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Definitions:

Sartorius

The longest muscle in the human body, running diagonally across the thigh, involved in flexing, abducting, and rotating the hip.

Vastus Lateralis

A muscle in the thigh that is part of the quadriceps, it extends the leg at the knee.

Gluteus Maximus

The largest and most superficial of the three gluteal muscles, responsible for movement of the hip and thigh.

Trunk Region

The central part of the body to which the head and limbs are attached; in humans, it consists of the thorax and abdomen.