In sin(A - B) = $$\frac{1}{2}$$ and cos(A + B) =$$\frac{1}{2}$$ where A > B > 0 and A + B is an acute angle, then the value of B is? Options: A . &nbsp$$\frac{\pi }{6}$$ B . &nbsp$$\frac{\pi }{{12}}$$ C . &nbsp$$\frac{\pi }{4}$$ D . &nbsp$$\frac{\pi }{2}$$

In sin(A - B) = $$\frac{1}{2}$$ and cos(A + B) =$$\frac{1}{2}$$ where A > B

Question

In sin(A - B) = $$\frac{1}{2}$$ and cos(A + B) =$$\frac{1}{2}$$ where A > B > 0 and A + B is an acute angle, then the value of B is?

Options:

A . $$\frac{\pi }{6}$$

B . $$\frac{\pi }{{12}}$$

C . $$\frac{\pi }{4}$$

D . $$\frac{\pi }{2}$$

Answer: Option B

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