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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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If sin⁡  θ1+sin⁡  θ2+sin⁡  θ3=3\sin \,\,{\theta _1} + \sin \,\,{\theta _2} + \sin \,\,{\theta _3} = 3, then cos⁡  θ1+cos⁡  θ2+cos⁡  θ3=\cos \,\,{\theta _1} + \cos \,\,{\theta _2} + \cos \,\,{\theta _3} =
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Correct option: D
0\mathrm{0}
Option D (0) is correct because the maximum value of sin⁡θ\sin \theta is 1, which implies θ1=θ2=θ3=π2\theta_1 = \theta_2 = \theta_3 = \frac{\pi}{2}, making the sum of cosines zero.

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