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ALTERNATIVE METHODS TO SOME QUESTIONS/ ALTERNATIEWE METODES TOT SEKER VRAE
3.2.4 𝐴𝐶 = √260 = 2√65
𝐴𝐵 = √160 = 4√10 ✓𝐴𝐵 = √160 = 4√10
𝐵𝐶 = √50 = 5√2 ✓ 𝐵𝐶 = √50 = 5√2
260 ≠ 160 + 50 ✓ 260 ≠ 160 + 50
𝐴𝐶 2 ≠ 𝐴𝐵2 + 𝐵𝐶 2 (3)
3.2.7 𝐴𝐷 = 10,08 ✓ 𝐴𝐷 = 10,08
𝐴𝐸 = 10,54 ✓𝐴𝐸 = 10,54
1 ✓ Formula/formule
𝐴𝑟𝑒𝑎 𝑜𝑓 ∆ 𝐴𝐷𝐸 = 𝐴𝐷. 𝐴𝐸 sin 𝐴
2
1 ✓ substitution/vervanging
𝐴𝑟𝑒𝑎 𝑜𝑓 ∆𝐴𝐷𝐸 = (10,08)(10,54) sin 25,56
2
𝐴𝑟𝑒𝑎 𝑜𝑓 ∆𝐴𝐷𝐸 = 22,92 𝑢𝑛𝑖𝑡𝑠 2 ✓answer/antwoord (5)
4.5 sin 5𝜃 = cos(𝜃 − 40)
cos(90 − 5𝜃) = cos(𝜃 − 40) ✓ co -function /ko-funksie
90 − 5𝜃 = 𝜃 − 40
90 − 5𝜃 = 𝜃 − 40 + 360𝑘 ✓ −6𝜃 = −130 + 360𝑘
−6𝜃 = −130 + 360𝑘
𝜃 = 21,67 − 60𝑘 ✓ 𝜃 = 21,67 − 60𝑘
OR / OF ✓90 − 5𝜃 = 360 − (𝜃 −
90 − 5𝜃 = 360 − (𝜃 − 40) + 360𝑘 40) + 360𝑘
−4𝜃 = 310 + 360𝑘 ✓−4𝜃 = 310 + 360𝑘
𝜃 = −77,5 − 90𝑘
✓ 𝜃 = −77,5 − 90𝑘 (6)
CORRECTIONS TO BE MADE ON THE QUESTION PAPER (ENGLISH AND AFRIKAANS VERSION
Re-phrasing of the question.
Question 9.1
Calculate, in terms of 𝑥 and 𝑦, the sizes of the following angles. Give reasons for your answers.
Vraag 9.1
Bereken, in terme van 𝑥 en 𝑦, die groottes van elk van die volgende hoeke. Gee redes vir jou
antwoorde.
CORRECTIONS ON MARKING GUIDELINE
10.3 - Delete one “e” in the second line ( highlighted in the marking guideline)
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Mathematics · Grade 11 · Eastern Cape November Exam · 2023. Question paper, 1 pages. Read online or download the PDF.
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