Question

if , tan theta+ cot theta = 2 , then tan⁷theta+cot⁷theta=?​

Answer 1

Answer:

tanθ + cotθ = 2

let , θ = 90°

tan90° + cot90° = 2

we know tan90 = 1 and cot90 = 1

1 + 1 = 2

now ,

tan⁷θ + cot⁷θ =

(1)⁷ + (1)⁷ =

1 + 1 = 2