Download Higher Homework Exercise 4

Higher Homework Exercise 4
1.
Find the exact value of
(a)
2.
√2cosxº + 1 = 0
(b) 2cos3xº - 1 = 0
(c)
9sin2x – 1 = 0
Solve the following equations for 0 ≤ x ≤ 2π
(a)
4.
(b) tan 5π
6
Solve the following equations for 0 ≤ x ≤ 360º
(a)
3.
cos225º
2sin(x + π ) - 3 = 0 (b) 2cos2x – cosx – 1 = 0
3
(a) The diagram opposite
shows the graph of
y = psin qx + r.
Write down the equation of
this graph.
(b) The line y = 1 is drawn
on the same graph.
Find the coordinates of A
and B.
5.
The graph shows a curve y = f(x)
On separate diagrams sketch the
graphs of
(a) f(x – 4)
(b) 2 – f(x)
6.
If f(x) = 2x2 and g(x) = 2x + 1 find
a) f(f(-1)) b) g(f(-2))
7.
In the diagram shown, find
the equation of the altitude
from
A
and
the
perpendicular bisector of
CB
A(3,5)
C(-5,1)
B(1,-1)
Mr Mackison – Mathematics Department – Williamwood High School