xq6a4qab49 xq6a4qab49
  • 25-11-2020
  • Mathematics
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Express as a product: 1-2cos(2a)

I've been really struggling with this. Please help & explain it.

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 04-12-2020

Answer:

(2sin a - 1)(2sin a + 1)

Step-by-step explanation:

Here, we want to express what is given as a product

Mathematically;

cos2a = 1-2sin^2A

So we have;

1-2(1-2sin^a)

= 1 - 2 + 4sin^2a

= 4sin^2a - 1

Using the difference of two squares, this is;

(2sin(a) - 1)(2sin a + 1)

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