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\begin{array} { l } { \text { 1. Prove that } b ^ { 2 } x ^ { 2 } - a ^ { 2 } y ^ { 2 } = a ^ { 2 } b ^ { 2 } , \text { if } } \\ { \text { (i) } x = a \sec \theta , y = b \tan \theta , \text { or } } \\ { \text { (ii) } x = a \csc \theta , y = b \cot \theta } \end{array} |
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