If tan A +
1/
tan A
= 2, then show that tan2A +
1/
tan2A
= 2
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Answer:
tanA+1/tanA=2
or, (tan^A+1) / tanA= 2
or, (tanA-1) ^2=0
or, tanA= 1
or, tanA= tan 45°
or, A= 45°
tan^2A + 1/tan^2A= (tan 45°) + 1/tan 45°= 1+1/1=2
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