The Wave Function
1.
Express f(x) = sin(x) - 
cos(x) in the form ksin(x-a)0 0 < x < 3600 and hence
solve for f(x) = 1
2.
Express f(x) = cos(x) – sin(x)
in the form ksin(x-a)0 0 < x < 2
and hence solve for f(x)
= -1
3. Find the maximum and minimum turning points of y = 3cos(x) + 4sin(x) + 5
4.
If the perimeter of
this triangle is 20cm, show that 
and find the
minimum value of h
5. In a certain sea port the height of the water above the mean height is given by the formula:
h = 20(2sin30t + cos30t) where t is the time in hours after midnight.
By first expressing h in the form kcos(30t – a), find the times of high and low tide for the first day.