11. If tan A + cot A = 6, then the value of tan^2 A + cot^2 A is
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Squaring both sides,
(tan A + cot A) ^2= 36
tan^2A + cot^2A + 2 × tan A × cot A = 36
tan^2 A + cot^2 A + 2 = 36
tan^2 A + cot^2 A = 34
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