If 2tan x/1-tan^2 x =1 then x can equal:

(More than 1 answer)
a. x=7pi/8+ n(pi)
b. x=pi/8+ n(pi)
c. x=3pi/8+ n(pi)
d. x=5pi/8+ n(pi)

Question

If 2tan x/1-tan^2 x =1 then x can equal:

(More than 1 answer)
a. x=7pi/8+ n(pi)
b. x=pi/8+ n(pi)
c. x=3pi/8+ n(pi)
d. x=5pi/8+ n(pi)

anonymous · Answer

Try factoring your expression, as if you were treating $\tan x$ as a single variable.

anonymous · Answer

$$\frac{2\tan x}{1-\tan^2 x} = \tan 2x $$

anonymous · Answer

ans is b

tan2x = 1
hence,  2x = 3.14/4 + 2*n*3.14

anonymous · Answer

is there another answer then b though?

anonymous · Answer

Whoops...interpreted your question incorrectly since you didn't use parenthesis...follow @FoolForMath 's reasoning.

anonymous · Answer

The simplest way is to check via options.

anonymous · Answer

well we know B. is part of the answer but what about D?

anonymous · Answer

D is also correct answer