Question

If cot a and cot B are the roots of the equation
x2-3x + 2 = 0, then what is cot (a + b) equal
to ?
​

Answer 1

Answer:

cot(a +b) = 1/3

Step-by-step explanation:

Given cot α and cot β are the roots of x^2 -3x + 2 = 0

We know sum of the roots = - b/a and

product of the roots = c/a

So cot α + cot β = -(-3)/1 = 3 and

cot α. cot β = 2/1 = 2

We know that cot (α + β)

= (cotα cot β - 1)/ (cot α+ cotβ)

= (2–1)/ 3 = 1/3

So, cot (α + β) = 1/3.

Hope it helps u