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The equality sin A+ sin 2A + sin 3A = 3 ...

The equality `sin A+ sin 2A + sin 3A = 3` holds for some real value of A.

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False
Given that, `sinA+sin2A+sin3A=3`
It is possible only if `sinA, sin2A, sin3A` each has a value one because maximum value of `sinA` is a certain angle is 1. Which is not possible because angle are different.
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