Question

compute the exact value of sin(tan^-1(1/3))

Answer 1

use ur calculator :P

Answer 2

well..i got 0.316227766

Answer 3

\[\frac{\sqrt{10}}{10}\]

Answer 4

i lost my calculator :(

Answer 5

you don't need a calculator

Answer 6

0_o

Answer 7

let \[\theta=\tan^{-1}(1/3)\]

then\[\tan(\theta)=1/3\]


draw a right triangle with the above numbers

then evaluate \(\sin(\theta)\)