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Prove the following identity, where the...

Prove the following identity, where the angles involved are acute angles for which the expressions are defined.
(i) `(cosectheta-cottheta)^2=(1-costheta)/(1+costheta)`

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To prove the identity \((\csc \theta - \cot \theta)^2 = \frac{1 - \cos \theta}{1 + \cos \theta}\), we will show that the left-hand side (LHS) is equal to the right-hand side (RHS). ### Step-by-Step Solution: 1. **Start with the LHS:** \[ (\csc \theta - \cot \theta)^2 \] ...
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