Question

If tanP + cotP = 2, then the value of tan^nP + cot^nP is __________.​

Answer 1

Step-by-step explanation:

If

x+(1)/(x)=2

, then

x^(n)+(1)/(x^(n))=2

Answer 2

Answer:

Powering both sides with n

(tan p + cot p)^n = 2^n

tan p^n + cot p^n + 2 tan p * cot p = 2^n

tan p^n + cot p^n + 2 * 1 = 2^n

tan p^n + cot p^n = 2^n - 2

=> tan p^n + cot p^n = 2^(n-1)