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(b) ________________________________________________________________________
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4ï°
5
2ï°
5
unit
circle
0
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6ï°
5
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8ï°
5
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Classwork
(a) Prove that cos 6ï± = 32 cos6 ï± - 48 cos4 ï± + 18 cos2ï± - 1.
(b) Hence, show that the roots of the equation 64x3 - 96x2 + 36x - 3 = 0 are
ï°
5ï°
7ï°
ï°
5ï°
7ï°
and deduce that sec2
cos2
, cos2
, cos2
+ sec2
+ sec2
= 12 .
18
18
18
18
18
18
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(b) ________________________________________________________________________
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III. Express a power of sin ï± or cos ï± in terms of sines or cosines of
multiple angles.
P.M/Complex/p.15
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