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Z04 Math
Question 58
2021 April(Z04) Math Question 58
Trigonometry
- Graphing Trig Functions
Amplitude, Period, Phase Shift and Frequency, Graphs of Sine, Cosine and Tangent
Choice K
y
=
A
c
o
s
(
B
(
x
+
C
)
)
+
D
y = A \; cos(B(x + C)) + D
y
=
A
cos
(
B
(
x
+
C
))
+
D
A
m
p
l
i
t
u
d
e
=
3
=
>
A
=
3
Amplitude = 3=> A=3
A
m
pl
i
t
u
d
e
=
3
=>
A
=
3
P
e
r
i
o
d
=
π
=
{
2
π
}
{
B
}
=
>
B
=
2
Period=\pi=\frac\{2\pi\}\{B\} => B=2
P
er
i
o
d
=
π
=
2
{
π
}
{
B
}
=>
B
=
2
N
o
s
h
i
f
t
s
=
>
C
=
0
,
D
=
0
No \; shifts => C=0,\; D=0
N
o
s
hi
f
t
s
=>
C
=
0
,
D
=
0
∴
y
=
3
c
o
s
(
2
(
x
+
0
)
)
+
0
=
3
c
o
s
(
2
x
)
\therefore y = 3 \; cos(2(x + 0)) + 0= 3 \; cos(2x)
∴
y
=
3
cos
(
2
(
x
+
0
))
+
0
=
3
cos
(
2
x
)
Skills you are tested for:
Amplitude, Period, Phase Shift and Frequency
Graphs of Sine, Cosine and Tangent
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