Investigating The Sin Curve Math Hl Ia

Investigating the Sine Curve This report investigates the sinfulness enclose in the form o[pic] f, and how that relates to the represent of the wickedness trim back. In particular, it would be investigated how the various variables ([pic] effect the way that the graph is drawn and thus beholding if the rule puke be generalized to control to whatever form of the equation. The first thing to do would be to dispense with [pic] and [pic] to be 0, which would mean that the equation [pic] takes the form of: [pic]. It can be seen from interpret 1.1 that when [pic] is 1 what graph you get (the departure graph) and when [pic] is allowed to be 2 what the graph looks like (the blue graph). From the graph downstairs it can be seemn that increasing [pic] stretches the graph by the element of change in [pic]. In simple words, the graph of [pic] would be twice the point of [pic] as is clearly seen from Graph 1.1. When I change the time tax for [pic], all the respect of the sine influence get multiplied by that look on of [pic], which is 2 in this case. By multiplying all the values of the curve by [pic] the heyday of each point in the curve increases while there is no change in the go down of the graph in the x-axis.

For the authorized sine graph ([pic]) it is ordinary knowledge that the comparative minima and maxima are -1 and 1 respectively, however when the [pic] is changed the original minima and maxima are as well as multiplied by [pic] and therefore the new minima and maxima would become [pic] and [pic] respectively. The wait of the graph similarly gets stretched by [pic] as this is the n umber that the unharmed curve is cosmos mu! ltiplied by. This time when we change the value of [pic] we would change it into a fraction, one fraction would be littler than 1 whereas the former(a) one would bigger than 1. It can be seen that when you have a fraction that is smaller than 1 for your [pic] value the height of the sine curve ill decrease to the height of [pic]. On the early(a) hand, having a bigger fraction than 1 increases the height of the sine curve to...If you want to get a full essay, put it on our website: BestEssayCheap.com

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