In die diagram hieronder is die grafieke van $f(x) = an x$ en $g(x) = 2 ext{sin } 2x$ vir die interval $x orall [-180^ ext{o}; 180^ ext{o}]$ gesketst - NSC Mathematics - Question 6 - 2022 - Paper 2
Question 6
In die diagram hieronder is die grafieke van $f(x) = an x$ en $g(x) = 2 ext{sin } 2x$ vir die interval $x orall [-180^ ext{o}; 180^ ext{o}]$ gesketst. $A(60^ ext{o... show full transcript
Worked Solution & Example Answer:In die diagram hieronder is die grafieke van $f(x) = an x$ en $g(x) = 2 ext{sin } 2x$ vir die interval $x orall [-180^ ext{o}; 180^ ext{o}]$ gesketst - NSC Mathematics - Question 6 - 2022 - Paper 2
Step 1
Skryf die periode van g neer.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die periode van g is 180exto.
Step 2
Bereken die:
6.2.1 Waarde van k
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die waarde van k is k = rac{ ext{sqrt}(3)}{1.73}.
Step 3
Bereken die:
6.2.2 Koördinate van B
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die koordinate van B is (−120exto;−extsqrt(3)).
Step 4
Skryf die waardeverzameling van 2g(x) neer.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die waardeverzameling van g is y orall [-2; 2]. Die waardeverzameling van 2g(x) is y orall [-4; 4].
Step 5
Vir watter waardes van x sal g(x + 5°) - f(x + 5°) ≤ 0 in die interval x ∈ [-90°; 0°]?
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die waardes van x waarvoor g(x+5exto)−f(x+5exto)eq0 sal in die interval x orall [-65^ ext{o}; -5^ ext{o}] wees.
Step 6
Behaal die waardes van p waarnaartoe sin x.cos x = p presies twee reële waardes in die interval x ∈ [-180°; 180°] sal hê.
97%
121 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Die waardes van p is p = rac{1}{2} of p = - rac{1}{2}.
![In-die-diagram-hieronder-is-die-grafieke-van-$f(x)-=--an-x$-en-$g(x)-=-2-ext{sin-}-2x$-vir-die-interval-$x--orall-[-180^-ext{o};-180^-ext{o}]$-gesketst-NSC Mathematics-Question 6-2022-Paper 2.png](https://cdn.simplestudy.cloud/assets/backend/uploads/question/subject_692_paper_20449_q6_679949c8.jpg)
