Question

tanA+cotA=2 then find tan^12A+ cot^12A
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Answer 1

Answer:

value = 2

Step-by-step explanation:

so, we know that

tan45° = cot45° = 1

so, tan45 + cot45 = 2

therefore, A = 45°

now,

= tan¹²A + cot¹²A

= tan¹²45° + cot¹²45°

= (1)¹² + (1)¹²

= 1+1

= 2

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Answer 2

Answer:

2

Step-by-step explanation:

The given equation becomes tanA + 1/tanA = 2

gives, tan^2A - 2tanA + 1 = 0 ( by L.C.M method and cross multiplication )

Solving the quadratic equation, tanA = 1,1

Therefore, A = 45°

Now, tan^12 + cot^12

= 1^12 + 1^12

= 1 + 1

= 2

HOPE THIS HELPS YOU.........