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Byju's Answer
Standard XII
Mathematics
Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions
If tan A+1 / ...
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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