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Prove that: tan(pi/4+A). Tan((3pi)/4)+...

Prove that:
`tan(pi/4+A). Tan((3pi)/4)+A=-1`

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To prove that \( \tan\left(\frac{\pi}{4} + A\right) \cdot \tan\left(\frac{3\pi}{4} + A\right) = -1 \), we will follow these steps: ### Step 1: Identify the left-hand side (LHS) We start with the left-hand side of the equation: \[ \text{LHS} = \tan\left(\frac{\pi}{4} + A\right) \cdot \tan\left(\frac{3\pi}{4} + A\right) \] ...
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