Question

tan6 a+3 tan2 a.sec2 a +1 = sec6 a

Answer 1

RHS = sec^6 a = (sec^2 a)^3

                          = (1+tan^2a)^3

                          = 1 + (tan^2 a)^3 + 3 tan^2 a (1+tan^2 a)

                          = 1 + tan^6 a + 3 tan^2 a * sec^2 a.

                          = LHS.


Hope this helps!

Answer 2

hope this will help you