If angles A and B satisfy `sqrt(2)cosA = cosB + cos^(3)B` and `sqrt(2)sinA = sinB- sin^(3)B`, then the value of `1620 sin^(2) (A-B)` is ……………..

Explanation

To solve the problem, we start with the given equations:

1. \(\sqrt{2} \cos A = \cos B + \cos^3 B\) (Equation 1)
2. \(\sqrt{2} \sin A = \sin B - \sin^3 B\) (Equation 2)

### Step 1: Multiply Equation 1 by \(\sin B\) and Equation 2 by \(\cos B\)

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