Question

Tan(t)= -1

should be easy for ya =(

Answer 1

Do you want to know how to solve for \(t\)?

Answer 2

it says, Solve the following equations in the interval [0, 2 pi].

Answer 3

if u can show me and it wouldn't take alot of time i would gladly appreciate it wio

Answer 4

First of all, do you understand the unit circle?

Answer 5

mmm unit circle is r=sqrt(x^2+y^2 ?

Answer 6

holy pellet did u just draw that

Answer 7

The unit circle is a circle whose radius is \(1\) and it centered at the origin \((0,0)\).

Answer 8

yes yes x being cos and y being sin

Answer 9

Alright, well \[
\tan(t) = \frac{\sin (t)}{\cos(t)}
\]

Answer 10

In our case, we would say: \[
\frac{\sin t}{\cos t} = -1 \implies \sin t = -\cos t
\]

Answer 11

oh yes i remember that go on

Answer 12

At the \(45^\circ\) angles, we can see that \(x\) and \(y\) coordinates on the unit circle will be roughly equal. And also, \(45^\circ =\pi/4\)

Answer 13

is negative 1 = sin/cos a rule?

Answer 14

it's only the second and first quadrants, though, where you have \(y=-x\).