Trigonometry, 2ADV T3 2021 HSC 20
For what values of `x`, in the interval `0 <= x <= pi/4`, does the line `y = 1` intersect the graph of `y = 2sin4x`? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Trigonometry, 2ADV T3 EQ-Bank 5
The function `f(x) = sin x` is transformed into the function `g(x) = (sin(4x))/3`.
Describe in words how the amplitude and period have changed in this transformation. (2 marks)
Trigonometry, 2ADV T3 2019 HSC 7 MC
Trigonometry, 2ADV T3 SM-Bank 8
`f(x) = 2 sin (2x)` is defined in the domain `{x: \ pi/8 <= x < pi/3)`
What is the range of the function `f(x)`? (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
Trigonometry, 2ADV T3 SM-Bank 3 MC
Let `f (x) = 5sin(2x) - 1`.
The period and range of this function are respectively
(A) `π\ text(and)\ [−1, 4]`
(B) `2π\ text(and)\ [−1, 5]`
(C) `π\ text(and)\ [−6, 4]`
(D) `2π\ text(and)\ [−6, 4]`
Trigonometry, 2ADV T3 SM-Bank 1 MC
`f(x) = 2sin(3x) - 3`
The period and range of this function are respectively
(A) `text(period) = (2 pi)/3 and text(range) = text{[−5, −1]}`
(B) `text(period) = (2 pi)/3 and text(range) = text{[−2, 2]}`
(C) `text(period) = pi/3 and text(range) = text{[−1, 5]}`
(D) `text(period) = 3 pi and text(range) = text{[−1, 5]}`
Trigonometry, 2ADV T3 2017 HSC 14a
Sketch the curve `y = 4 + 3 sin 2x` for `0 <= x <= 2 pi`. (3 marks)
--- 8 WORK AREA LINES (style=lined) ---
Trigonometry, 2ADV T3 2010 HSC 8c
The graph shown is `y = A sin bx`.
- Write down the value of `A`. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Find the value of `b`. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
-
On the same set of axes, draw the graph `y = 3 sin x + 1` for `0 <= x <= pi`. (2 marks)
--- 0 WORK AREA LINES (style=lined) ---