Trigonometri #1

Geometry Level 1

$\large\frac { 1 }{ \cos ^{ 2 }{ \theta } } +\frac { 1 }{ 1+\sin ^{ 2 }{ \theta } } +\frac { 2 }{ 1+\sin ^{ 4 }{ \theta } } +\frac { 4 }{ 1+\sin ^{ 8 }{ \theta } }$

If $\large \sin ^{ 16 }{ \theta } = \frac { 1 }{ 5 }$ , what is the value of the expression above?