Question 33858
cosθ = 5/12 and tanθ is negative , find  the exact value for sinθ

since cosine is positive , it lies on the 1st quadrant
cosθ = adj/hyp = 5/12
sinθ = opp/hyp

by pythagoras theorem find the opp.
{{{opp = sqrt(12^2 - 5^2)}}}
{{{opp = sqrt(119)}}}

sinθ= {{{sqrt(119)/12}}}