Question

Solve the equation.
tan²x = 1

Answer 1

hello

I am PCB student s still I am trying to help you out...

have a look to the solution

tan²x =1
=> tan²x=tan 45°
=> tanx =√tan45°
=> tan x= 1
=> x =45° ANSWER

Answer 2

Solve the equation.


${tan}^{2} x = 1 \\ \\ tan \: x = \sqrt{1} \\ \\ \tan(x) = ±\:1 \\ \\ so \\ \\ tan \: x = 1 \\ \\ or \\ \: tan \: x = - 1$

So,

$tan \: x = 1 \\ \\ x = {tan}^{ - 1} (1) \\ \\ = {tan}^{ - 1} (tan \: ( \frac{\pi}{4} ) \\ \\ x= \frac{\pi}{4}$

and

$tan \: x = - 1 \\ \\ x = {tan}^{ - 1} ( - 1) \\ \\ = {tan}^{ - 1} (tan( - \frac{\pi}{4} ) \\ \\ x = - \frac{\pi}{4}$

thus values of x are π/4, -π/4