How do you find the exact value of the expression $(tan((5pi)/4)-tan(pi/12))/(1+tan((5pi)/4)tan(pi/12))$?
Md Ariful Islam
বিএসসি(সিএসই)
,
এমবিএ(মার্কেটিং)
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Md Ariful Islam
বিএসসি(সিএসই)
,
এমবিএ(মার্কেটিং)
$"note that"$
$•color(white)(x)tan(A-B)=(tanA-tanB)/(1+tanAtanB)$
$"the given expression is in this form"$
$=tan((5pi)/4-pi/12)=tan((7pi)/6)$
$tan((7pi)/6)=tan(pi/6)=1/sqrt3=sqrt3/3$
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