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\begin{array} { l } { \text { 27. If } A + B = 90 ^ { \circ } \text { , prove that } } \\ { \sqrt { \frac { \tan A \tan B + \tan A \cot B } { \sin A \sec B } - \frac { \sin ^ { 2 } B } { \cos ^ { 2 } A } } = \tan A } \end{array}

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