Question

if 2tanx/1-tan^2x=1, then x can equal

Answer 1

There can be more than 1 answer

a) x=5pi/8 + npi
b) x=pi/8 + npi
c) x=3pi/8 + npi
d) x=7pi/8 + npi

Answer 2

Please clarify:

(2tanx)/1
or
2tan(x/1)

Answer 3

2tanx/(1-tan^2x)

Answer 4

(2tanx)(1-tan^2x) =1 ...then x can equal? options above

Answer 5

See, there is an identity :

\[\frac{2tanx}{(1-\tan^2x)} = \tan(2x)\]

Using this:

\[\tan(2x) = 1\]

Or you can do is:

\[\tan(2x) = \tan(45)\]

Now can you solve further??

Answer 6

haha i have no clue how to do this

Answer 7

See,
\[\tan(\theta) = \tan(x)\]

\[\theta = n \pi + \frac{\pi }{4}\] where n belongs to Integers Set...

Answer 8

can you tell me the answer for that