Question

If cot theta = 4/3, evaluate (4 sin theta + 3 cos theta) / (4 sin theta - 3 cos theta)

Answer 1

if cot x is 4/3 then using the properties of the triangle find out the other degrees as cot x = base/ perpendicular according to this you can find out the other degrees and put the values in the equation

Answer 2

cot x = 4/3 = B/P
so, B = 4, P = 3, H = 5
4 sin x + 3 cos x = 12/5 + 12/5 = 24/5
4 sin x - 3 sin x = 12/5 - 12/5 = 0

since the denominator is 0 so the answer is undefined