Question

What is the value of cot2ø+tanø=?​

Answer 1

Answer:

Given:

• tanA+cotA=2

• tanA+(1/tanA)=2. (cotA=1/tanA)

• (tanA)^2 + 1 =2tanA

• (tanA)^2 - 2tanA + 1 = 0

• (tanA - 1)^2 = 0.

• so tanA=1

• if tanA=1, then cotA=1

• now according to question;

• tan^7(A) +cot^7(A)=?

• (1)^7 + (1)^7=2

1. hence, tan^7(A) +cot^7(A)=2