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 If AB¯=i¯+2j¯-k¯,BC¯=2i¯+j¯+k represent two adjacent sides of ΔABC , then sinA-cosBtanC=

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detailed solution

Correct option is D

cos(AB¯,BC¯)=2+2−166⇒cos(π−B)=12B=120° Also AB=BC⇒A=C=30°sin30−cos120tan30=3


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