Gegee:
$f(x) = an x$ en $g(x) = ext{cos}(x - 45^ ext{o})$ vir $x ext{ }
e [0^ ext{o}; 360^ ext{o}]$
5.1
Teken sketsgrafieke van $f$ en $g$ op dieselfde asstelstel op die rooster wat in die ANTWOORDEBOOK verskaf is - NSC Technical Mathematics - Question 5 - 2021 - Paper 1
Question 5
Gegee:
$f(x) = an x$ en $g(x) = ext{cos}(x - 45^ ext{o})$ vir $x ext{ }
e [0^ ext{o}; 360^ ext{o}]$
5.1
Teken sketsgrafieke van $f$ en $g$ op dieselfde as... show full transcript
Worked Solution & Example Answer:Gegee:
$f(x) = an x$ en $g(x) = ext{cos}(x - 45^ ext{o})$ vir $x ext{ }
e [0^ ext{o}; 360^ ext{o}]$
5.1
Teken sketsgrafieke van $f$ en $g$ op dieselfde asstelstel op die rooster wat in die ANTWOORDEBOOK verskaf is - NSC Technical Mathematics - Question 5 - 2021 - Paper 1
Step 1
5.2.1 $f$ ongedeffinieer is
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Answer
Die funksie f(x)=anx is ongedeffinieer waar die noemer van die tangensfunksie nul is, wat voorkom by:\
x=90exto+kimes180extoextwaarkext′ngeheelgetalis\
In die gegewe interval [0exto;360exto] is die waardes x=90exto en x=270exto.
Step 2
5.2.2 $f(x) imes g(x) ext{ } 0$ waar $x ext{ }
e [90^ ext{o}; 180^ ext{o}]$
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Answer
Die produk f(x)imesg(x) is groter as nul wanneer albei funksies positief of albei funksies negatief is.\
xexte[0exto;90exto] (wat nie in die interval is)\
xexte[90exto;135exto] of x=180exto\
x behoort aan die interval [90exto;135exto] of x=180exto.