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If $\frac{x}{\cos θ} = \frac{y}{\cos (θ - \frac{2 π}{3})} = \frac{z}{\cos (θ + \frac{2 π}{3})}$ , then $x + y + z =$

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Correct option is B

We have,xcos⁡θ=ycos⁡θ−2π3=zcos⁡θ+2π3Therefore, each ratio is equal to x+y+zcos⁡θ+cos⁡θ−23π+cos⁡θ+2π3=x+y+z0⇒ x+y+z=0

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If xcos⁡θ=ycos⁡θ−2π3=zcos⁡θ+2π3, then x+y+z=

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Ready to Test Your Skills?

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If $\frac{x}{\cos θ} = \frac{y}{\cos (θ - \frac{2 π}{3})} = \frac{z}{\cos (θ + \frac{2 π}{3})}$ , then $x + y + z =$