$\text { Find the open interval(s) on which the function } f ( x ) = \cos ^ { 2 } ( 2 x ) \text { is increasing in the }$

Multiple Choice

$\text { Find the open interval(s) on which the function } f ( x ) = \cos ^ { 2 } ( 2 x ) \text { is increasing in the }$ interval Round numerical values in your answer to three decimal places.

A) increasing on: $( 0.785,2.571 ) , ( 2.356,3.142 ) , ( 4.927,4.712 ) , ( 5.498,6.283 )$
B) increasing on: $( 2.356,3.142 ) , ( 3.927,4.712 ) , ( 5.498,6.283 ) , ( 0.785,1.571 )$
C) increasing on: $( 3.142,3.927 ) , ( 1.571,2.356 ) , ( 4.712,5.498 ) , ( 0,6.283 )$
D) increasing on: $( 0,0.785 ) ( 1.571,2.356 ) , ( 3.142,3.927 ) , ( 4.712,5.498 )$
E) increasing on: $( 0.785,1.571 ) , ( 2.356,3.142 ) , ( 3.927,4.712 ) , ( 5.498,6.283 )$