How do I break down 273522171217962221711796cosA step by ste

How do I break down 27.35^2=(21.71)^2+(17.96)^2-2(21.71)(17.96)cosA step by step? The example\'s answer has cos A = -45.8632/-779.8232. I know how they got -779.8232 (using -2(21.71)(17.96), but have no idea how they got -45.8632 on top.

Thanks for any help.

Solution

27.35^2=(21.71)^2+(17.96)^2-2(21.71)(17.96)cosA

=> (27.35)^2 - (21.71)^2 - (17.96)^2 = -2(21.71)(17.96)cosA

=> 748.0225 - 471.3241 - 322.5616 = -779.8232cosA

=> -45.8632 = -779.8232cosA

hence, cos A = -45.8632/-779.8232

Hence, proved

How do I break down 27.35^2=(21.71)^2+(17.96)^2-2(21.71)(17.96)cosA step by step? The example\'s answer has cos A = -45.8632/-779.8232. I know how they got -779

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