Question

Which of the values in not in the domain of y=tan x

1. -π/2
2. 0
3. π
4. -π/4

Answer 1

The value not in the domain of y=tan x from the options given is -π/2 because the tangent function is undefined where cosine is zero, which occurs at odd multiples of π/2.

Step-by-step explanation:

The domain of the tangent function, y = tan x, consists of all real numbers, except for the values where cos x is zero since the tangent function is sin x divided by cos x. These values are when x is an odd multiple of π/2. So, for the options given:

So the value that is not in the domain of y = tan x from the given options is - π/2.