If secθ + tanθ = p, (p ≠ 0) then secθ

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secθ + tanθ = p .....(i)
∵ sec²θ – tan²θ = 1
⇒ (secθ + tanθ) (secθ – tanθ) = 1

⇒ secθ – tanθ =	1	....(ii)
	p

On adding both the equations

2 secθ = p +	1
	p

⇒ secθ =	1		p +	1
	2			p