Download Higher Homework 3

Higher Maths
Formal Homework 3
1.
The line PQ has coordinates P(-6, 10) and Q(2, 14). Find the equation of the
perpendicular bisector of PQ.
2.
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Triangle ABC has vertices (6,2), (-4,-4) and (-1,8) respectively.
a. Find the equation of the altitude BD.
b. Find the equation of the median CE.
c. BD and CE intersect at H. Find the coordinates of H.
3.
f(x) = 2x² and g(x) = 3x-1, find
a. f(g(x))
4.
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b. g(f(x)).
[4]
For the recurrence relation Un + 1 = aun + b, it is known that uo = 6, u1 = 12
and u2 = 21.
a. Find the values of a and b.
b. Hence find the value of u3.
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5. Change these angles to radians, leaving your answers as exact values:
a) 45°
b) 120°
c) 300°
d) 15°
[4]
6. Change these angles to radians, giving your answers as a decimal to
2 decimal places: a) 27°
7. Change these angles to degrees:
b) 172°
a)

5
c) 3.8°
b)
3
4
c) 0.5585
[3]
[3]
8. Find the EXACT value solutions for each of the following equations for
0◦≤ x ≤ 360◦:
a. tan x◦ = - √3
b. 1 – 2cos x◦ = 0
c. 4 sin²x◦ = 1
d. 2 sin 2x◦ = - 1
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