Use the Reciprocal and Quotient Identities to find sec x if cos x = 2√5 over 5

Question

using the reciprocal and quotient identities, find sec x.

Answer 1

Hi, Jake F.,

If cos(x) = [2√(5)]/5 then sec(x) = 1/cos(x) = 1/[2√(5)]/5 = 5/[2√(5)] = √(5)/2.

I hope this helps, Joe.