To evaluate cot θ given that sinθ=√6/5 we shall have: sin θ=opposite/hypotenuse hence opposite=√6 hypotenuse=5 thus the adjacent will be found using the Pythagorean theorem c²=a²+b² plugging in the value we get: 5²=(√6)²+b² b²=25-6 b²=19 b=√19 thus adjacent=√19 but cotθ=1/tanθ tanθ=√6/√19 hence: cotθ=√19/√6
