Calculate it or Replace it

Geometry Level 3

Compute \( \dfrac { \dfrac { 1-\sin ^{ 2 }{ \theta } }{ \tan ^{ 2 }{ \theta } +1 } -\dfrac { 1-\cos ^{ 2 }{ \theta } }{ \cot ^{ 2 }{ \theta } +1 } }{ \cos ^{ 2 }{ \theta } -\sin ^{ 2 }{ \theta } } \)

PS: \( \theta =\dfrac { \pi }{ 3 } \) PSS: Don't replace theta.

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