If sin A - cos A = (√3 - √2) / 2, then find the value of sin A × cos A.

Question

If sin A - cos A = (√3 - √2) / 2, then find the value of sin A × cos A.

Options

A.

(2√3 - 1) / 4

B.

(2√2 - 1) / 8

C.

(2√6 - 1) / 8

D.

(3√2 - 1) / 4

trigonometrysincosalgebraidentities

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