math
posted by lily .
if sin theta equals 3/5 and theta is second quadrant angle find tan 2 theta.my ans. was 3.442 but is wrong can you correct and show work please. thank you so much.

3,4,5 right triangle in quadrant 2
cos t = 4/5
tan t = sin t/cos t = 3/4
tan 2 t = 2 tan t / (1tan^2 t)
= 2 (3/4) / (19/16)
= (3/2)/(7/16)
= 3 /(7/8)
= 24/7
=3.43