Maths help Trig GRAPHS Watch
Now if i multiply the entire function by the number i am stretching it vertically.
If I am multiplying the inside (the bit with x) and i am squashing the wave together so that things are more frequent.
Its just a transformation question.
Learn the transformation rules.
The period of the sine function sin(t degrees) is 360 degrees and so using 0<=t<=10 you need to work out how many cycles of the sine wave to draw for sin(180t degrees). The 1/2 factor is just a matter of scaling so the maxima and minima are 1/2 rather than 1.
The graph is 1/2 sin(180t).
Use transformation of functions to know that this is stretched vertically by 1/2 (so the range is -1/2 ≤ f(t) ≤ 1/2)
And that f(180t) means it's squeezed horizontally by a scale factor of 180.
So try plotting points for t = 1-10 to give a general idea of the graph
0<=t<=10 so plug in t=0 and t=10 into 180t and then that gives you the range of degrees that the sine function needs to be drawn and then from that you can work out the number of cycles from the period of the sine function.
What are you graphing on Desmos? The function sin(180t) simply contains a different argument 180t than you are used to so all that does is change the range of degrees that you have to graph the sine function for. The graph of sin(180t) for 0<=t<=10 is the same as the graph of sin(t) for 0<=t<=1800.