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Mathematics
Mathematics
Problem
(i) Express
cos
5
θ
−
cos
θ
\cos5\theta-\cos\theta
cos
5
θ
−
cos
θ
as a product of two trigonometric factors. (ii) Using the result of part (i), solve the equation
cos
5
θ
−
cos
θ
=
0
\cos5\theta-\cos\theta=0
cos
5
θ
−
cos
θ
=
0
for
0
<
θ
<
2
π
0<\theta<2\pi
0
<
θ
<
2
π
.
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