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If 2cos∅ = √3, find the value of 2cos∅+1/2cos∅-1.

User Eton
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2\cos\Theta=\sqrt3\to\cos\Theta=(\sqrt3)/(2)\\\\2\cos\Theta+(1)/(2)\cos\Theta-1=\sqrt3+(1)/(2)\cdot(\sqrt3)/(2)-1=(4\sqrt3)/(4)+(\sqrt3)/(4)-(4)/(4)\\\\=\boxed{(5\sqrt3-4)/(4)}

User Xdissent
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