Question

question number 8 ch trigonometry

Answer 1

I hope you will satisfied with my answer

Answer 2

Solution:

Given: sec x +tan x =p,

To find: sec x=?

sec x + tan x = p..(i)

As we know, sec²x -tan²x=1
                        (sec x+tan x)(sec x - tan x)=1
                                             p(sec x -tan x)=1
                                                 sec x-tan x =1/p ..(ii)
 (i)+(ii)=> (sec x+tan x)+(sec x -tan x)=p+1/p
                  sec x+tan x +sec x + tan x=p²+1/p
                                                    2sec x=p²+1/p
                                                   ∴sec x=p²+1/2p  Hope it Helps!