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Question

If tanA+1/tanA=2 show that tan​​​​ 2 A +1/tan​​​​ 2 A=2

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Solution


Let ,tanA=x

Given,
tanA +(1/tanA)=2
​​​​​​
x + 1/x = 2
x² - 2x + 1 = 0
(x - 1)² = 0
x = 1
tan A = 1

Therefore,
tan²A + 1/tan²A = 1 + 1 = 2

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