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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If x  cos⁡  θ=y  cos⁡(θ+2π3)=z  cos⁡(θ+4π3)x\,\,\cos \,\,\theta = y\,\,\cos \left( {\theta + \frac{{2\pi }}{3}} \right) = z\,\,\cos \left( {\theta + \frac{{4\pi }}{3}} \right), then the value of 1x+1y+1z\frac{1}{x} + \frac{1}{y} + \frac{1}{z} is equal to
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Correct option: C
0
Option C (0) is correct because the sum of cosines with angles in arithmetic progression is zero when the common difference is 2π3\frac{{2\pi}}{3}.

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