If tan x = x - 1/4x, then sec x - tan x is equal to A. -2x, 1/2x B. -1/2x, 2x C. 2x D. 2x, 1/2x

Question

If tan x = x - \(\cfrac1{4\text x}\), then sec x - tan x is equal to

A. -2x, \(\cfrac1{2\text x}\)

B. -\(\cfrac1{2\text x}\), 2x

C. 2x

D. 2x, \(\cfrac1{2\text x}\)

Answer 1

Correct option is A. -2x, \(\cfrac1{2\text x}\) 

⇒ sec x – tan x

∴ the value of sec x – tan x = -2x, 1/2x.