The Curve $x = 5 - 10 \cos ^ { 2 } t , y = \tan t \left( 1 - 2 \cos ^ { 2 } t \right)$

question 100

Short Answer

The curve $x = 5 - 10 \cos ^ { 2 } t , y = \tan t \left( 1 - 2 \cos ^ { 2 } t \right)$ cross itself at some point $\left( x _ { 0 } , y _ { 0 } \right)$ . Find the equations of both tangent lines at that point.

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Definitions:

Dissociative Identity Disorder

A severe condition in which two or more distinct identities, or personality states, are present in—and alternately take control of—an individual.

Localized Amnesia

An inability to recall any of the events that occurred over a limited period of time.

Continuous Amnesia

An inability to recall newly occurring events as well as certain past events.

Switching

The act of changing from one state, condition, or activity to another, which can refer to various contexts including psychological states or activities.