Question

where is tan radical 3 on the unit circle

Answer 1

What is tangent?

Answer 2

like sin cos tan

Answer 3

I know, but what is tangent equal to? I know the answer, but I am asking you.

Answer 4

i dont know:(

Answer 5

Take a guess.

Answer 6

just think. you know that on a 30 60 90 you have radical 3 as 1 side and 1 as 1 side. radical 3 is bigger than 1. so if rad 3 is opposite the angle and 1 is adjacent. what angle does it have to be.

Answer 7

Drawing a picture might help her ^

Answer 8

him or her, I don't know. >.<

Answer 9

30 degrees then?? honestly i have no idea

Answer 10

nope.

Answer 11

You could also go the route that I learned, \[\tan x=\frac{ \sin x }{ \cos x }\]

Answer 12

120 degrees??

Answer 13

Ooh. Close. Try halving it. ^

Answer 14

so 60 degrees??

Answer 15

Yep.

Answer 16

We know this because:\[\tan x=\frac{ \sin x }{ \cos x }\]
And at 60 degrees:\[\sin = \frac{ \sqrt{3} }{ 2 }\]
and \[\cos = \frac{ 1 }{ 2 }\]
\[\tan 60=\frac{ \frac{ \sqrt{3} }{ 2 } }{ \frac{ 1 }{ 2 } }\]
dividing by a fraction is equal to multiplying by it's recipricol.
\[\tan 60=\frac{ \sqrt{3} }{ 2 } \times 2\]
\[\tan 60=\sqrt{3}\]