Vereenvoudig
cos2 (π + x ) + cos2 ( pi/2 + x )
A.   1
B.  cos 2x
C.  π
D.  cos x
E.  sin² x
A    B    C    D    E

[ 4-2057 - op net sinds 3.9.2020-(E)-8.11.2023 ]

Translation in   E N G L I S H

Simplify

cos2 (π + x ) + cos2 ( pi/2 + x ) 		A.   1
B.   cos (2x)
C.   π
D.   cos x
E.   (sin x)²

Oplossing - Solution

cos2 (π + x ) + cos2 ( pi/2 + x )
= [−cos x  ]² + [ sin (pi/2 − ( pi/2 + x ) ]²
= ( −cos x)² + [sin (−x) ]²
= cos² x + sin² x
= ...
gricha