Question

solve 0≤ θ <360
tan^2-1=0

Answer 1

Hi, @tfortasuu
Welcome to Openstudy :)
You can treat tan θ just like any variable x. In fact, let's do that right now :)
Let x = tan θ
then
x² - 1 = 0
Now just solve for x and tell me what you got~

Answer 2

I did that but there are suppose to be four solutions and I got 45 and 225, I just don't know the next too?

Answer 3

Thank you so much oh my god! Can you help with more?

Answer 4

Will do.

Answer 5

So you got your four answers, then? What are they?

Answer 6

Wait is it 45 and 225, what else?

Answer 7

The values for which tan θ = -1

Answer 8

yeah that one

Answer 9

Well, then, what other values of θ?
Besides 45 and 225, of course.

Answer 10

umm lol I don't know how to do that part

Answer 11

I'm sure at some point, you memorised the values of sin,cos, and tan, when you started trig.
Just review your unit circle, and check the times when sin θ = cos θ and those would be the parts where tan θ = 1
Check the parts where sin θ = -cos θ and those would be the parts where tan θ = -1

Answer 12

is it -1 and 2?

Answer 13

No. (and lol, you can't have a negative θ, you said 0 ≤ θ < 360)

Answer 14

right omg ok 1, 2?

Answer 15

Nope.
Review your unit circle.

Answer 16

OH WAIT IS IT 180?

Answer 17

and 270?