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Show that (1 + 2cos ) is a factor of f( ) = 8cos 3 - 4cos – 1

  1. Show that (1 + 2cos) is a factor of f() = 8cos3 - 4cos – 1

Grade:

1 Answers

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
8 years ago
Dear student,

I will denote theta by x (for simpliciy)

so , we can write f(x) as
f(x) = (8cos3x + 1) – 4 cosx – 2
= (2cosx + 1) (4cos2x + 1 – 2cosx – 2)

Thanks.

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