Question

Show that tan^2 teta+tan^4 teta=sec^4 teta_sec^2 teta​

Answer 1

Step-by-step explanation:

L.H.S = tan^2 ∅ + tan^4 ∅

= tan^ 2 ∅(1+tan^2 ∅)

= (sec^2 ∅ - 1)sec^2 ∅

= sec^4 ∅ - sec^2 ∅ = R.H.S