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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)`
Solution
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`
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