If A+C=B, Show that the tanA.tanB.tanC=tanB-tanA-tanC

Steps to solve 
If A+C=B, Show that the tanA.tanB.tanC=tanB-tanA-tanC

From question,

⇒A+C=B

⇒tan(A+C)=tanB

⇒tanA+tanC/1-tanA.tanC=tanB

⇒tanA+tanC=tanB-tanA.tanC.tanB

⇒tanA.tanB.tanC=tanB-tanA-tanC

Hence {Proved}

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