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- limx→0 (1−cos(5x))/(1−cos(9x))Find all solutions to cos(7x)−cos(x)=sin(4x)cos(7x)-cos(x)=sin(4x) on 0≤x<2π30≤x<2π3I have a question about this type of question. Will cos(mpix) will always be 0? and how do we determine it will be 0 and when sin(mpix) part also will be 0? moreover, for the sin(mpix) when we do the integration, why the negative sign is canceled? I did not follow.