Multiple choice

If $\phi$ is an acute angle such that $\tan { \phi } =\dfrac{ 2 }{ 3 }$, then evaluate $\left( \dfrac { 1+\tan { \phi } }{ \sin { \phi } +\cos { \phi } } \right) \left( \dfrac { 1-\cot { \phi } }{ \sec { \phi } +\text{cosec}\, { \phi } } \right) $

  1. $\dfrac{ -1 }{ 5 }$
  2. $\dfrac{ -4 }{ \sqrt { 13 } }$
  3. $\dfrac{ 1 }{ 5 }$
  4. $\dfrac{ 4 }{ \sqrt { 13 } }$
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C Correct answer