If tan a=(5)/(6) tanb=(1)/(11) prove that a+b=(pi)/(4)
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Step-by-step explanation:
Tan(a+b)=tana+tann/1-tana×tanb
tan(a+b)=5/6+1/11/(1-5/6×1/11)
tan(a+b)=61/66/(61/66)
tan(a+b)=1
a+b=tan(1)
a+b=45°
a+b=π/4
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