SECTION I
Not more than FOUR questions should be attempted from this Section.
Marks
1. (i) Find the general solution of the equation
77* \ f IT
, — COS ,
V ioy V 5
smf x + —- ) cos( x — ~ ] = sin - cos
77 77
- COS —
5 10
(5)
(ii) Without using tables determine which is the larger of the
acute angles
tan 1 - + tan 1 ^
3 5 2
(iii) Eliminate 9 from the equations
x = sin 36,
y = cos 29.
. _i 1 | , _i 1
tan - + tan
8
(5)
(5)
= 0,
(6)
2. (i) Show that j (a + 6 + c) is a root of the equation
a — x b — x c
a — x c b — x
a b — x c — x
and find the other roots of the equation.
(ii) By using determinants, show that the equations
x -|~ y -j- % —■ 0,
2x — y az = 0,
2x + y -fife = 0
have a non-zero solution for x, y, z if and only if
a = 3b — A.
Find a non-zero solution for x, y, z in the particular case
when 6 = 0 and a = — 4. (9)
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