Question

if tan+1/tan=2 then show that tan2+1/tan2=2

Answer 1

tan Ф + 1/tan Ф = 2
Let tan Ф = x
Therefore
x + 1/x = 2
Squaring on both sides
(x + 1/x)² = 2²
We know that (x + 1/x)² = x² + 1/x² + 2
So
x² + 1/x² + 2 = 4
x² + 1/x² = 4 - 2
x² + 1/x² = 2
Subsituting x = tan Ф
tan² Ф + 1/tan² Ф = 2

Hence Proved.


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Answer 2

Step-by-step explanation:

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