One major example of mass spring systems important in our everyday life would be the use of shocks in a vehicle or if you don't drive, then even a bicycle. It is important for a manufacturer or the designing engineer to be aware of the amplitude, period and frequency of the system to make the final product safe for consumers. These factors must be known so as to find what value of force is exerted on them and determine how much impact they can withstand in order to protect the driver and rest of the vehicle from harm or damage, respectively. It did not necessarily change the way I think about trigonometry, mainly because I haven't thought critically on the subject but it has opened my mind to common problems it can be applied to, such as I have stated.
