Question

Name four angles whose tangent equals 0.

Answer 1

Look at the graph of a tan function https://www.google.com/search?q=tan(x)&oq=tan(x)&aqs=chrome..69i57j0l5.1589j0j7&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8 when does it seem like it goes to 0?

Answer 2

Hint: it's periodic, meaning that once you find the distance between two points of 0, that number multiplied by a integer (n) will give you another 0

Answer 3

It's 0 at (0,0), but look to the left or right to the next point where the graph is 0, how far is it from 0?

Answer 4

45°, 135°, 405°, 495°

Answer 5

0°, 180°, 360°, 540°

Answer 6

Did you take a look at the graph of tan(x)?

Answer 7

yes

Answer 8

90°, 450°, 810°, 1170°?

Answer 9

Ok, now how far is the next 0 from either side?

Answer 10

10?

Answer 11

So now you know that pi(n) where n is any integer gives you an integer.

And I know you know how to convert pi radians to degrees

so that'll be whatever it is in degrees(n) and look at your answers accordingly

Answer 12

so 3.14 divided by the answer

Answer 13

naw i"ll show you

Answer 14

To convert from radians to degrees or vice versa

Rad-->Deg
\[\Huge Rad~value~\times\frac{180}{\pi}\]
Deg-->Rad\[\Huge Deg~value~\times\frac{\pi}{180}\]

Answer 15

With that being said, we have pi radians (the distance) an =d if we convert to deg\[\Huge \pi~\times\frac{180}{\pi}=180\]

Answer 16

so 180n are all the values for when tan(x) is 0

n=any integer (......-2,-1,0,1,2,.....)

Answer 17

0°, 180°, 360°, 540°

Answer 18

@raijuenea1 did you get all that?

Answer 19

yes i got it thank you