Alle oplossingen
die voldoen aan
| sin x | = 1
worden gegeven
door 		A.   R
B.   \(x=\frac{\pi}{2}+k.2\pi\)
C.   \(x=\frac{\pi}{2}+k.2\pi\)
D.   \(x=\frac{\pi}{2}+k.\pi\)
E.   \(x=k.\pi\)
A    B    C    D    E

[ 5-4338 - op net sinds 30.10.15-(E)-13.6.2025 ]

Translation in   E N G L I S H

All the solutions
satisfying
| sin x | = 1
are given
by 		A.  R   (all x)
B.   \(x=\frac{\pi}{2}+k.2\pi\)
C.   \(x=\frac{\pi}{2}+k.2\pi\)
D.   \(x=\frac{\pi}{2}+k.\pi\)
E.   \(x=k.\pi\)

Oplossing - Solution

  |sin x| = 1
⇔ sin x = 1 ∨ sin x = −1
⇔ x = piop2 + k.2π ∨ x = −piop2 + k.2π
⇔ x =piop2 + k.π