Give the Rectangular Coordinates for the Point with the Spherical $\left( 4 , \frac { \pi } { 6 } , \frac { \pi } { 4 } \right)$

Multiple Choice

Give the rectangular coordinates for the point with the spherical coordinates $\left( 4 , \frac { \pi } { 6 } , \frac { \pi } { 4 } \right)$

A) $( \sqrt { 6 } , \sqrt { 6 } , 2 \sqrt { 2 } )$
B) $( \sqrt { 6 } , 2 \sqrt { 6 } , \sqrt { 2 } )$
C) $( 2 \sqrt { 6 } , 2 \sqrt { 6 } , 2 \sqrt { 2 } )$
D) $( \sqrt { 6 } , \sqrt { 2 } , 2 \sqrt { 2 } )$