Question

If tan A + 1/tan A=3 then find tan²A + 1/ tan²A​

Answer 1

Answer :

tan²A + 1/tan²A = 7

Solution :

• Given : tanA + 1/tanA = 3
• To find : tan²A + 1/tan²A = ?

We have ;

tanA + 1/tanA = 3

Now ,

Squaring both the sides , we get ;

=> (tanA + 1/tanA)² = 3²

=> tan²A + (1/tanA)² + 2•tanA•(1/tanA) = 9

=> tan²A + 1/tan²A + 2 = 9

=> tan²A + 1/tan²A = 9 - 2

=> tan²A + 1/tan²A = 7

Hence ,

tan²A + 1/tan²A = 7