Question

In ΔBC, right angled at C, if tan A = `8/7`, then the value of cot B is ______.

Options

• `7/8`

• `8/7`

• `7/sqrt(113)`

• `8/sqrt(113)`

Answer 1

In ΔBC, right angled at C, if tan A = `8/7`, then the value of cot B is `underlinebb(8/7)`.

Explanation:

tan A = `8/7`

∴ BC = 8k

and AC = 7k

where k ≠ 0

cot B = `(BC)/(AC)`

= `(8k)/(7k)`

= `8/7`