Question

sec x + tan x =2 , then the value of sec x is ?

Answer 1

Answer:

sec x + tan x = 2. - eq 1

by the trignometric identities

sec square x - tan square x = 1

then,

(sec x + tan x)×( sec x - tan x) = 1

(sec x + tan x) = 1 ÷ (sec x - tan x)

&

(sec x - tan x) = 1 ÷ ( sec x + tan x)

so, by the given equation sec x + tan x = 2

sec x - tan x = 1/2. - eq 2

by adding equation 1&2 we get,

2sec x = 2+1/2

2sec x= 4+1 ÷ 2

2sec x = 5/2

sec x = 5/4

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