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Question
If A + B = 90° and \[\tan A = \frac{3}{4}\]\[\tan A = \frac{3}{4}\] what is cot B?
Solution
Given in question:
`A+B=90°`
tan `A=3/4`
`A+B=90°`
⇒` B=90°-A`
⇒ `Cot B= cot(90°-A)`
⇒` Cot B= tan A`
⇒ `Cot B=3/4[cot (90°-A)=tan A]`
Hence the value of cot B is `3/4`
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