if cot = 4/3 find csc

Actually DRAW the triangle, then you can read the answer straight off it!

Picture a right-angled triangle with side lengths 3, 4 and 5 (a Pythagorean triple).  cot (adjacent over opposite = 1/tan) is 4/3, so csc (hypotenuse over opposite = 1/sin) is 5/3.