If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β) = $$

Question

If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β) = $$\frac{1}{2}{\text{,}}$$ then the value of sin(α + 2β) is?

Options:

A . 0

B . 1

C . $$\frac{{\sqrt 3 }}{2}$$

D . $$\frac{1}{{\sqrt 2 }}$$

Answer: Option D

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