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The expression \(1 - 2\sin^2(22.5°)\) is equal to:

  • A.1
  • B.1/2
  • C.1/√2
  • D.√3/2

Answer: C

This is in the form of the cosine double angle identity: \(\cos(2A) = 1 - 2\sin^2 A\).

Here, A = 22.5°.

The expression is equal to \(\cos(2 \times 22.5°) = \cos(45°)\).

The value of \(\cos 45°\) is \(1/\sqrt{2}\).

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