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- I 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.Solve sin(3x)cos(5x)−cos(3x)sin(5x)=−0.25sin(3x)cos(5x)-cos(3x)sin(5x)=-0.25 for the smallest positive solution.x =integral cos^7(4x)