If `(1+sinA)(1+sinB)(1+sinC)=(1-sinA)`
`(1-sinB)(1-sinC)," then prove that "(1-sinA)`
`(1-sinB)(1-sinC)=pmcosA.cosB.cosC`.

Explanation

To prove that \((1 - \sin A)(1 - \sin B)(1 - \sin C) = \pm \cos A \cos B \cos C\) given the condition \((1 + \sin A)(1 + \sin B)(1 + \sin C) = (1 - \sin A)(1 - \sin B)(1 - \sin C)\), we can follow these steps:

### Step-by-Step Solution:

1. **Write the Given Condition:**
\[ (1 + \sin A)(1 + \sin B)(1 + \sin C) = (1 - \sin A)(1 - \sin B)(1 - \sin C) \]
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