Wat is de maximale waarde van

2.sin2x.cos2x   ?
A.   \(1\)
B.   \(2\)
C.   \(\frac54\)
D.   \(\frac14\)
E.   \(\frac12\)
A    B    C    D    E

[ 5-6430- op net sinds 1.11.4-(E)-4.11.2023 ]

Translation in   E N G L I S H

What is the maximum value of
2.sin2x.cos2x ?
A.   \(1\)
B.   \(2\)
C.   \(\frac54\)
D.   \(\frac14\)
E.   \(\frac12\)

Oplossing - Solution

2.sin²x.cos²x = 1op2.4.sin²x.cos²x = 1op2.(2.sinx.cosx)² = 1op2.sin² 2x
De maximale waarde van   sin² 2x   is 1, dus ...

GWB