Question

PLEASE HELP ME URGENT Check all that apply. tan(theta) is undefined for theta=

A. 3pi/2

B. pi/2

C. 0

D. pi

Answer 1

I'm pretty sure the answer is pi/2. Just plugged it in my calculator and it said error.

Yes it's A and B

Answer 2

Option A and B

Explanation:

Option A : For
`(3\pi )/(2)=\theta`

Tan θ =
`tan((3\pi )/(2))`

As we know tan (π + θ) = tanθ

So
`tan((3\pi )/(2))` = tan (
`((\pi +\pi )/(2))`

=
`tan((\pi )/(2))`

= ∞ (not defined)

Option B : For θ =
`((\pi )/(2))`

tan θ =
`tan((\pi )/(2))`

= ∞ (not defined)

Option C : For θ = 0

tan θ = tan 0

= 0

Option D : For θ = π

Tan θ = tan (π)

= tan (π-0)

= tan 0

= 0

Therefore, Option A and B are correct.