Question

Why is the exact value of tan^-1 (sqrt 3) and tan(sqrt 3) both equal to pi/3?

Answer 1

they aren't

Answer 2

but i always get the same exact value

Answer 3

Make sure you are using proper brackets and what not. On a site called wolframalpha.com, type in: tan^-1(sqrt(3)) and note the value. Then on the same site plug in: tan(sqrt(3)). Note and compare the values, they won't be the same. Also make sure you type the numbers in exactly as i have typed them.

Answer 4

It didnt show the exact value for tan(sqrt(3)), so there is no exact value for it..?

Answer 5

there is ...namely \[\tan(\sqrt{3})\]
:)

Answer 6

if you want a decimal approximation it is about -6.1475

Answer 7

so...is tan (sqrt 3) = pi/3...?

Answer 8

is \[\frac{\pi}{3}=-6.1475...\]
?

Answer 9

oh..the CAST rule?

Answer 10

but wouldn't tan^-1 be -ve as well..
omg..i really dont get it

Answer 11

oh wait, nevermind . i think i get it now

Answer 12

the arc tan is to use to find angle
tan is for find value right

Answer 13

\[\tan^{-1}(x)\] is the inverse tangent function

we have \[\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\]

so \[\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\]

Answer 14

yea, i get it now thnks
i always mix it up with 1/ tan

Answer 15

so i thought u need to flip to oppo / adjacent

Answer 16

from opp/adja to adja/ opp

now i am clear, thx

Answer 17

good