Question

if sec theta +tan theta = p, then what is the value of sec theta - tan theta

Answer 1

We know, sec²x=1+tan²x

sec²x-tan²x=1

(sec x - tan x)=1/p

Answer 2

sec²theta - tan²theta = (sec theta +tan theta)(sec theta - tan theta)
or 1=p(sec theta -tan theta)
or sec theta - tan theta)=1/p