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4
5
2
5
unit
circle
0
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6
5
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8
5
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Classwork
(a) Prove that cos 6 = 32 cos6  - 48 cos4  + 18 cos2 - 1.
(b) Hence, show that the roots of the equation 64x3 - 96x2 + 36x - 3 = 0 are

5
7

5
7
and deduce that sec2
cos2
, cos2
, cos2
+ sec2
+ sec2
= 12 .
18
18
18
18
18
18
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III. Express a power of sin  or cos  in terms of sines or cosines of
multiple angles.
P.M/Complex/p.15
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