trig
posted by Ruby .
Given Tangent theta = 5 on 4 and cos theta >0, find sine theta and sec theta

not familiar with the expession "5 on 4"
do you mean 5/4 ?
if tanØ = 5/4 and cosØ >0
then we know Ø is in quadrant IV
by Pythagoras, the hypotenuse of the standard triangle is √41
sinØ = 5/√41
sec Ø = √41/4