If $${\text{sin A}} - \cos {\text{A}}$$ = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$ then the value of $${\text{sin A}}.{\text{cosA}}$$ is? Options: A . &nbsp$$\frac{1}{{\sqrt 3 }}$$ B . &nbsp$$\frac{{\sqrt 3 }}{2}$$ C . &nbsp$$\frac{1}{4}$$ D . &nbsp$$\frac{{\sqrt 3 }}{4}$$

If $${\text{sin A}} - \cos {\text{A}}$$ = $$\frac{{\sqrt 3

Question

If $${\text{sin A}} - \cos {\text{A}}$$ = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$ then the value of $${\text{sin A}}.{\text{cosA}}$$ is?

Options:

A . $$\frac{1}{{\sqrt 3 }}$$

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

C . $$\frac{1}{4}$$

D . $$\frac{{\sqrt 3 }}{4}$$

Answer: Option D

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