1.

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

Answer»

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 = \(\frac{1}{p}\)



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