MCT 4C – Worksheet
Trig Functions
For each of the following questions, find
i)
ii)
iii)
the equation
graph
max, mid, min, start and period
1.
y = 4 sin 10x +7
2.
h = 8 cos 0.5x -2
3.
y = -4 cos 4x + 13
4.
5.
6.
Max
mid
Min
Start
period
7.
Max
mid
Min
Start
period
32
17
Middle
20
14
8
Top
40
8. A ferris wheel has a radius of 25 m and the centre of the wheel is 27 m above the
ground. It takes 60 seconds to complete a full rotation and the people get on the
ferris wheel at the middle.
9. High tide is 8 m and low tide is 1 m. It’s high tide right now and will be again in
12 hours.
For questions 8:
a)find the height at time
i)
20 seconds
ii)
4 minutes
b) find the time(s) when the height is
i)
52 m
ii)
10 m
For question 9:
a) find the depth of the water at
i)
3 hours
ii)
8 hours
b) find the time to have the water depth at
i)
4.5m
ii)
7m