Question

If tan alpha + cot alpha = 2. then tan²⁰alpha + cot²⁰alpha = ?
(a) 0 (b) 2 (c) 20 (d) 2²⁰

Answer 1

let alpa =x for easy solution

tanx+ cot x=2

tanx+1/tanx=2

tan²x+1/tanx=2

tan²+1=2tanx

tan²x+1-2tanx=0

(tanx-1)²=0

square rooting both side

tanx=1

x=45

tan45+cot45=2