Verify That the Equation Is an Identity $$\cot ( x + y ) \cot ( x - y ) = \frac { 1 - \tan ^ { 2 } x \tan ^ { 2 } y } { \tan ^ { 2 } x - \tan ^ { 2 } y }$$

question 391

Essay

Verify that the equation is an identity.
- $$\cot ( x + y ) \cot ( x - y ) = \frac { 1 - \tan ^ { 2 } x \tan ^ { 2 } y } { \tan ^ { 2 } x - \tan ^ { 2 } y }$$

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Definitions:

Dopamine

A neurotransmitter involved in many functions, including mood regulation, reward, and motor control.

Tourette Syndrome

A neurological disorder characterized by repetitive, involuntary movements and vocalizations called tics.

Motor Tics

Motor Tics are sudden, brief, repetitive movements typically involving specific muscle groups, often seen in conditions like Tourette syndrome.