Question

if sec θ + tan θ = x then find sec θ

Answer 1

we know
sec^2 θ - tan^2 θ =1
so
(sec θ + tan θ )*(sec θ - tan θ )=1
so
(sec θ - tan θ )= 1/x
(sec θ + tan θ ) =x

so
2 sec θ =x+1/x
so
sec θ = (x+1/x)/2