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if-tan-A-tan-B-90-find-taAtanB-




Question Number 43889 by SNILL JAMES last updated on 17/Sep/18
if tan A + tan B=90  find taAtanB
$${if}\:{tan}\:{A}\:+\:{tan}\:{B}=\mathrm{90} \\ $$$${find}\:{taAtanB} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 17/Sep/18
tan(A+B)=((tanA+tanB)/(1−tanAtanB))  1−tanAtanB=((90)/(tan(A+B)))  tanAtanB=1−((90)/(tan(A+B)))
$${tan}\left({A}+{B}\right)=\frac{{tanA}+{tanB}}{\mathrm{1}−{tanAtanB}} \\ $$$$\mathrm{1}−{tanAtanB}=\frac{\mathrm{90}}{{tan}\left({A}+{B}\right)} \\ $$$${tanAtanB}=\mathrm{1}−\frac{\mathrm{90}}{{tan}\left({A}+{B}\right)} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

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