If TanA + CotA = 2, find value of Tan^2A + Cot^2A.
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Solution:
TanA + CotA = 2
squaring both sides,
(TanA + CotA) = 4
Tan^2A + Cot^2A + 2TanA × CotA = 4
Tan^2A + Cot^2A + 2 × 1 = 4
Tan^2A + Cot^2A + 2 = 4
Tan^2A + Cot^2A = 4 - 2 = 2
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