In trisngle RST, angle S is a right angle and csc R=5/3. T=What is tan T?

Answer 1

sin R = 3/5 = r/s
t^2 = 5^2 - 3^2 = 25 - 9 = 16
so t = 4

tan T = t/s = 4/5

Answer 2

Your answer is wrong. You forgot to switch csc into sin, therefore r=3, and s=5. Now we know that tan (T)= 4/3