cos² x.sin² x + sin² x.cos² x

is gelijk aan 		A.  1
B.  2
C.  sin² 2x
D.  1/2 sin² 2x
E.  2 sin² 2x
A    B    C    D    E 

[ 5-6461 - op net sinds 29.4.2020-(E)-8.11.2023 ]

Translation in   E N G L I S H

cos² x.sin² x + sin² x.cos² x

is equal to 		A.   1
B.   2
C.   sin² 2x
D.   1/2 sin² 2x
E.   2 sin² 2x

Oplossing - Solution

cos² x.sin² x + sin² x.cos² x
= 2 sin² x.cos² x
= 1/2.4 sin² x.cos² x
= 1/2.(2.sin x.cos x)²
= 1/2. (sin 2x)²= . . .
gricha