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tan ^2P - 2tanP + 1 = 0
(tan P - 1)^2 = 0
tan P - 1 = 0
tan P = 1
tan P = tan 45
P = 45 ---------- (1)
Now,
Tan^ P + cot^ P = tan^n(P) + cot^n(P)
= (tanP)^n + (cotP)^n
= (1)^n + (1)^n
We know that 1^n = 1.
So,
1 + 1
2.
Therefore the answer is the option (A) - 2.
Hope this helps!
Verified answer
The given equation is possible only when P = 45°as tan 45 = cot 45 = 1
so answer will remain 2 irrespective of the Power n.
A is correct answer