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Question
If \[\tan A = \frac{3}{4} \text{ and } A + B = 90°\] then what is the value of cot B?
Solution
Given that:
`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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