Question:
If Tan A + 1/ Tan A = 2, then the value of Tan^2 A + 1/ Tan^2 A is
Answer:
Given tan A + 1/tan A = 2
=> (tan2 A + 1)/tan A = 2
=> (tan2 A + 1) = 2 tan A
=> tan2 A - 2 tan A + 1 = 0
=> (tan A -1)2 = 0
=> tan A - 1 = 0
=> tan A = 1
=> tan A = tan 45°
=> A =45°
Now tan2 A + 1/tan2 A
tan2 45 + 1/tan2 45
= 12 + 1 /12
= 1 +1
= 2
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