Prove that log secx = 1by 2 x^2 + 1by 12 x^4 + 1 by 45 x^6 +... | Apply Maclaurin theorem to prove

Prove that log secx = 1by 2 x^2 + 1by 12 x^4 + 1 by 45 x^6 +... | Apply Maclaurin theorem to prove