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ALTERNATIVE ANSWERS TO SOME QUESTIONS With complete solutions latest update

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ALTERNATIVE ANSWERS TO SOME QUESTIONS With complete solutions latest update

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  • June 20, 2024
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  • 2023/2024
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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
𝐴𝐶2 ≠ 𝐴𝐵2 + 𝐵𝐶2 (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 𝑢𝑛𝑖𝑡𝑠2  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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