Question

If sec θ + tan θ = p, then what is the value of sec θ – tan θ?

Answer 1

Given that sec θ + tan θ = p , 

We know that sec² θ – tan² θ = 1 

sec² θ – tan² θ = (sec θ + tan θ) (sec θ – tan θ) 

= p (sec θ – tan θ) 

= 1 (from given) 

⇒ sec θ – tan θ = \(\frac{1}{p}\)