If sec θ + tan θ = p, then sec θ - tan θ is equal to:
Correct: A
We know the trigonometric identity: sec² θ - tan² θ = 1.
This identity can be factored as a difference of squares: (sec θ - tan θ)(sec θ + tan θ) = 1.
Given that sec θ + tan θ = p, substitute this into the factored identity:
(sec θ - tan θ)(p) = 1.
To find sec θ - tan θ, divide both sides by p:
sec θ - tan θ = 1/p.