Question

If sec x+ tan x= 4, then find the cos x. (P.S)​

Answer 1

cos x=1/4-tan x

Step-by-step explanation:

sec x+tan x=4

sec can be written as 1/cos

so,1/cos x=4-tan x

because +tan x becomes negative if it goes opposite side

We have to find cos x

soo,1/cos x=4-tan x

by cross multiplication

1×1=cos x × 4-tan x

1=cos x × 4- tan x

1/4-tan x=cos x

Hence,cos x= 1/4-tan x