Mathprecalculus
posted by shandra on .
Given tan theta=8/5 and sin theta < 0, find cos theta.

if tanØ < 0 and sinØ < 0 , then Ø must be in quad IV
from tanØ = 8/5 in IV, we have x = 5, y = 8
r^2 = 25+64 = 89
r = √89
then cosØ = 5/√89
posted by shandra on .
Given tan theta=8/5 and sin theta < 0, find cos theta.
if tanØ < 0 and sinØ < 0 , then Ø must be in quad IV
from tanØ = 8/5 in IV, we have x = 5, y = 8
r^2 = 25+64 = 89
r = √89
then cosØ = 5/√89