Find an Equation Using the Cotangent Function That Has the Same

question 10

Multiple Choice

Find an equation using the cotangent function that has the same graph as $y = \tan x$ .

• A) \(y = - \cot \left( x + \frac { \pi } { 4 } \right)\)
• B) \(y = - \cot x\)
• C) \(y = - \cot \left( x + \frac { \pi } { 2 } \right)\)
• D) \(y = \cot \left( x + \frac { \pi } { 3 } \right)\)
• E) \(y = - \cot \left( 2 x + \frac { \pi } { 2 } \right)\)

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Definitions:

Alkene

Unsaturated hydrocarbons containing at least one carbon-carbon double bond, participating in various chemical reactions.

Poly(Tetrafluoroethylene)

A synthetic polymer known for its exceptional chemical resistance and used in non-stick coatings, commonly called Teflon.

Teflon

A synthetic fluoropolymer of tetrafluoroethylene known for its non-stick properties and used in a wide variety of applications, including cookware coatings.

(Z)-4-Bromo-3-Heptene

A type of alkene with a bromo substituent positioned on the fourth carbon atom in a Z (cis) configuration relative to a double bond.