Question

if sin theta= 4/5 and theta is in quadrant 2 what is cot theta

Answer 1

sin x=4/5=p/h
so h=5 and p=4
tan x = p/b

using Pythagoras Theorem h²=p²+b²
b=√(h²-p²)=√(5²-4²)=√(25-16)=√9=3
tan x =p/b=4/3
Because tan is -ve in second quadrant
tan x = -4/3 answer