If tan x = t then tan 2x + sec 2x is equal to A. (1 + t)/(1 - t)

Question

If tan x = t then tan 2x + sec 2x is equal to

A. \(\frac{1 + t}{1- t}\)

B. \(\frac{1 - t}{1+ t}\)

C. \(\frac{2t}{1- t}\)

D. \(\frac{2t}{1+ t}\)

Answer 1

Correct answer is A.

Given tan x = t

then tan 2x + sex 2x =

[ using the formulae for tan 2x and sec 2x in terms of tan x,

As already given tan x = t