Find an Equation of the Tangent Line to the Graph $y = \cot x$

question 27

Multiple Choice

Find an equation of the tangent line to the graph of the function at the given point. $y = \cot x$ $\left( \frac { 3 \pi } { 4 } , - 1 \right)$

• A) \(y = - 2 x + \frac { 3 } { 2 } \pi - 1\)
• B) \(y = 2 x + \frac { 1 } { 2 } \pi - 1\)
• C) \(y = - 2 x - \frac { 1 } { 2 } \pi\)
• D) \(y = - x - \frac { 5 } { 2 } \pi - 1\)
• E) \(y = 2 x - \frac { 3 } { 2 } \pi + 1\)