3.3: Solving Trig Equations using Identities

Question

If  then

Answer 1

If sect−tant=1/f(t)+tant,

1/Cost - 2Tant = 1/f(t)

1/Cost - 2Sint/Cost = [1 - 2Sint] / Cost = 1/f(t)

f(t) = Cost/[1-2Sint]

but 1-2Sint ≠ 0

t ≠ π/6 nor 11π/6