Question

If tan theta+1/tan tgheta=2,find the value of tan^2 theta+1/tan^2theta

Answer 1

tan∅ + 1/tan∅ = 2

Square on both sides,

(tan∅ + 1/tan∅)² = 2²

tan²∅ + 1/tan²∅ +2(tan∅×1/tan∅) = 4

tan²∅ + 1/tan²∅ + 2 = 4

tan²∅ + 1/tan²∅ = 4 - 2

tan²∅ +1/tan²∅ = 2

I hope this will help you