Graad 11 Wiskunde Vraestel Maart 2024
Groot Totaal: 60 punte
Hierdie vraestel dek die volgede werk:
Esponente & wortels | Vergelykings & ongelykhede | Trigonometrie
Hierdie is 'n oefenvraestel met memorandum bedoel om die leerling se kennis te toets, en sal nie dieselfde vraestel wees wat...
VRAAG 1
1.1 Los op vir x :
1
1.1.1 3 x+ =4 (4)
x
2
1.1.2 x −2 x>3 (4)
2
1.1.3 x −6 x +6=0 (tot 2 desimale) (4)
1.1.4 x 2+ 8 x−4=0 (deur vierkantsvoltooing, los jou antworod in wortelvorm) (5)
1.2 Los x en y gelyktydig op.
y−x =−1 en 2
y +7=x +2 x (6)
1.3 Vir watter waardes van x sal die uitdrukking
√ 4−x nie-reëel wees? (3)
x−6
1.4 Vereenvoudig, sonder die gebruik van ‘n sakrekenaar:
x+1
4
1.4.1 √ 3 √ 48− (4)
22 x
12n+1 .27 n−2
1.4.2 (5)
182 n−1
1.5 Sonder om die vergelyking op te los, bepaal die aard van die wortels:
2
2 x +5 x +2=0 (3)
[38]
VRAAG 2
2.1 As x=120 ° en y=28° , bereken die waarde van:
4.1.1 ¿ (2)
cos2 x+ sin 2 x
4.1.2 × 2tany (2)
tany
2
2.2 Gegee sinθ = en θ ∈(90 °; 270 ° )
4
Bereken cosθ sonder die gebruik van ‘n sakrekenaar. (4)
1|Page www.summariessa.co.za Wiskunde
Graad 11 Maart Vraestel 1
, sin ( 90 °−θ ) . tan (−θ ) . cos (θ+180 °)
2.3 Vereenvoudig:
cos ( 180 °+ θ ) .cos ( 90°+θ)
(4)
2.4 Bepaal θ sonder die gebruik van ‘n sakrekenaar:
3 tanθ=√ 3 for θ ∈[0 °; 360 ° ] (2)
2.5 Vereenvoudig na ‘n enkele trigonometriese verhouding: √ (1−sinθ)¿ ¿ (3)
2.6 Bewys dat: ¿ (3)
[22]
GROOT TOTAAL: 60 PUNTE
2|Page www.summariessa.co.za Wiskunde
Graad 11 Maart Vraestel 1
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