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Prove that : sintheta(1+tantheta)+costhe...

Prove that : `sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta`

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To prove that \( \sin \theta (1 + \tan \theta) + \cos \theta (1 + \cot \theta) = \csc \theta + \sec \theta \), we will start from the left-hand side (LHS) and manipulate it step by step until we reach the right-hand side (RHS). ### Step 1: Write the LHS We start with: \[ \text{LHS} = \sin \theta (1 + \tan \theta) + \cos \theta (1 + \cot \theta) \] ...
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