Question

How do you solve tan(v) if sin(v)=1/3?

Answer 1

we just think of the domain of v is from 0 to 2pi
use \[v=\sin ^{-1}(1/3)\]
we can have the value of v
then work tan v
u can do it on your calculator

Answer 2

Have to do this without the help of calculator.. :p

Answer 3

tanv=sinv/cosv

Answer 4

use basic trigonometrical formulae

Answer 5

tan(v)*cos(v)=1/3..
then what?

Answer 6

ok, (sinv)^2+(cosv)^2=1
sinv=1/3
so (cosv)^2=1-(1/3)^2=8/9
\[cosv =2\sqrt{2}/3\]
and tan v=(sinv)/(cosv) it should have TWO answers!

Answer 7

got it?

Answer 8

\[cosv=\pm 2\sqrt{2}/3\]

Answer 9

to answer these questions I draw a triangle, and label the known sides.
use pythagoras to fill in the unknown side.