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Prove that x² + y ² = a² + b² |
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Answer» Step-by-step EXPLANATION:X=asecθ+btanθ y=atanθ+bsecθ x 2 −y 2 =a 2 SEC 2 θ+b 2 TAN 2 θ+2absecθtanθ−a 2 tan 2 θ−b 2 sec 2 θ−2absecθtanθ =a 2 (sec 2 θ−tan 2 θ)−b 2 (sec 2 θ−tan 2 θ) =a 2 −b 2 ( As sec 2 θ−tan 2 θ=1) ∴x 2 −y 2 =a 2 −b 2 |
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