what is tan2a if sina=1/2

2 answers

sina = (1/2)

cosa = √( 1 - (sina)^2)
= (√3)/2

tana = sina/cosa = 1/√3

tan2a = (2tana/(1-(tana)^2)

Plug in the value of tan(a).
if sinA = 1/2
from your basic angle ratios, you know that A = 30° or 150°
then 2A = 60° or 300°

tan 2A = tan 60 = √3
or
tan 2A = tan 300° = -√3