Solve the Initial Value Problem $\frac { \mathrm { dv } } { \mathrm { dt } } = \frac { 1 } { 4 } \csc t \cot t , v \left( \frac { 3 \pi } { 2 } \right) = \frac { 3 } { 4 }$

question 160

Multiple Choice

Solve the initial value problem.
- $\frac { \mathrm { dv } } { \mathrm { dt } } = \frac { 1 } { 4 } \csc t \cot t , v \left( \frac { 3 \pi } { 2 } \right) = \frac { 3 } { 4 }$

• A) \(v = - \frac { \csc t } { 4 } + \frac { 1 } { 2 }\)
• B) \(v = \csc t - \frac { 1 } { 4 }\)
• C) \(v = - \frac { \sec t } { 4 } + \frac { 3 } { 4 }\)
• D) \(v = - \frac { \operatorname { csct } } { 4 } + 1\)

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